12X1 T07 01 projectile motion (2011)

Download 12X1 T07 01 projectile motion (2011)

Post on 13-Jul-2015

514 views

Category:

Education

1 download

Embed Size (px)

TRANSCRIPT

<ul><li><p>Projectile Motion</p></li><li><p>Projectile Motiony</p><p>x</p></li><li><p>Projectile Motiony</p><p>xv</p><p>m/s</p></li><li><p>Projectile Motiony</p><p>xv</p><p>m/s</p></li><li><p>Projectile Motiony</p><p>xv</p><p>m/s</p><p>45rangemaximum</p><p>Initial conditions</p></li><li><p>Projectile Motiony</p><p>xv</p><p>m/s</p><p>45rangemaximum</p><p>Initial conditions when t = 0</p><p>v</p></li><li><p>Projectile Motiony</p><p>xv</p><p>m/s</p><p>45rangemaximum</p><p>Initial conditions when t = 0</p><p>v</p><p>x</p><p>y</p></li><li><p>Projectile Motiony</p><p>xv</p><p>m/s</p><p>45rangemaximum</p><p>Initial conditions when t = 0</p><p>v</p><p>x</p><p>y</p><p>cos</p><p>cos</p><p>vxvx</p></li><li><p>Projectile Motiony</p><p>xv</p><p>m/s</p><p>45rangemaximum</p><p>Initial conditions when t = 0</p><p>v</p><p>x</p><p>y</p><p>cos</p><p>cos</p><p>vxvx</p><p>sin</p><p>sin</p><p>vyvy</p></li><li><p>Projectile Motiony</p><p>xv</p><p>m/s</p><p>45rangemaximum</p><p>Initial conditions when t = 0</p><p>v</p><p>x</p><p>y</p><p>cos</p><p>cos</p><p>vxvx</p><p>sin</p><p>sin</p><p>vyvy</p><p>0x</p></li><li><p>Projectile Motiony</p><p>xv</p><p>m/s</p><p>45rangemaximum</p><p>Initial conditions when t = 0</p><p>v</p><p>x</p><p>y</p><p>cos</p><p>cos</p><p>vxvx</p><p>sin</p><p>sin</p><p>vyvy</p><p>0x 0y</p></li><li><p>0x gy </p></li><li><p>0x gy 1cx </p></li><li><p>0x gy 1cx 2cgty </p></li><li><p>0x gy 1cx 2cgty </p><p> sin cos0,when vyvxt </p></li><li><p>0x gy 1cx 2cgty </p><p> sin cos0,when vyvxt </p><p>coscos1</p><p>vxvc</p></li><li><p>0x gy 1cx 2cgty </p><p> sin cos0,when vyvxt </p><p>coscos1</p><p>vxvc</p><p> sin</p><p>sin2vgty</p><p>vc</p></li><li><p>0x gy 1cx 2cgty </p><p> sin cos0,when vyvxt </p><p>coscos1</p><p>vxvc</p><p> sin</p><p>sin2vgty</p><p>vc</p><p>3cos cvtx 42 sin21 cvtgty </p></li><li><p>0x gy 1cx 2cgty </p><p> sin cos0,when vyvxt </p><p>coscos1</p><p>vxvc</p><p> sin</p><p>sin2vgty</p><p>vc</p><p>3cos cvtx 42 sin21 cvtgty </p><p>0 00,when yxt</p></li><li><p>0x gy 1cx 2cgty </p><p> sin cos0,when vyvxt </p><p>coscos1</p><p>vxvc</p><p> sin</p><p>sin2vgty</p><p>vc</p><p>3cos cvtx 42 sin21 cvtgty </p><p>0 00,when yxt</p><p>cos03</p><p>vtxc</p></li><li><p>0x gy 1cx 2cgty </p><p> sin cos0,when vyvxt </p><p>coscos1</p><p>vxvc</p><p> sin</p><p>sin2vgty</p><p>vc</p><p>3cos cvtx 42 sin21 cvtgty </p><p>0 00,when yxt</p><p>cos03</p><p>vtxc</p><p>sin</p><p>21</p><p>0</p><p>2</p><p>4</p><p>vtgty</p><p>c</p></li><li><p>Common Questions</p></li><li><p>Common Questions</p><p>(1) When does the particle hit the ground?</p></li><li><p>Common Questions</p><p>(1) When does the particle hit the ground?0when ground thehits Particle y</p></li><li><p>Common Questions</p><p>(1) When does the particle hit the ground?0when ground thehits Particle y</p><p>(2) What is the range of the particle?</p></li><li><p>Common Questions</p><p>(1) When does the particle hit the ground?0when ground thehits Particle y</p><p>(2) What is the range of the particle? 0 when find yi</p></li><li><p>Common Questions</p><p>(1) When does the particle hit the ground?0when ground thehits Particle y</p><p>(2) What is the range of the particle? 0 when find yi xii intosubstitute</p></li><li><p>Common Questions</p><p>(1) When does the particle hit the ground?0when ground thehits Particle y</p><p>(2) What is the range of the particle? 0 when find yi xii intosubstitute</p><p>(3) What is the greatest height of the particle?</p></li><li><p>Common Questions</p><p>(1) When does the particle hit the ground?0when ground thehits Particle y</p><p>(2) What is the range of the particle? 0 when find yi xii intosubstitute</p><p>(3) What is the greatest height of the particle? 0 when find yi </p></li><li><p>Common Questions</p><p>(1) When does the particle hit the ground?0when ground thehits Particle y</p><p>(2) What is the range of the particle? 0 when find yi xii intosubstitute</p><p>(3) What is the greatest height of the particle? 0 when find yi yii intosubstitute</p></li><li><p>Common Questions</p><p>(1) When does the particle hit the ground?0when ground thehits Particle y</p><p>(2) What is the range of the particle? 0 when find yi xii intosubstitute</p><p>(3) What is the greatest height of the particle? 0 when find yi yii intosubstitute</p><p>(4) What angle does the particle make with the ground?</p></li><li><p>Common Questions</p><p>(1) When does the particle hit the ground?0when ground thehits Particle y</p><p>(2) What is the range of the particle? 0 when find yi xii intosubstitute</p><p>(3) What is the greatest height of the particle? 0 when find yi yii intosubstitute</p><p>(4) What angle does the particle make with the ground? 0 when find yi</p></li><li><p>Common Questions</p><p>(1) When does the particle hit the ground?0when ground thehits Particle y</p><p>(2) What is the range of the particle? 0 when find yi xii intosubstitute</p><p>(3) What is the greatest height of the particle? 0 when find yi yii intosubstitute</p><p>(4) What angle does the particle make with the ground? 0 when find yi yii intosubstitute</p></li><li><p>Common Questions</p><p>(1) When does the particle hit the ground?0when ground thehits Particle y</p><p>(2) What is the range of the particle? 0 when find yi xii intosubstitute</p><p>(3) What is the greatest height of the particle? 0 when find yi yii intosubstitute</p><p>(4) What angle does the particle make with the ground? 0 when find yi yii intosubstitute </p><p>xyiii tan </p><p>x</p><p>y</p></li><li><p>Summary</p></li><li><p>SummaryA particle undergoing projectile motion obeys</p></li><li><p>SummaryA particle undergoing projectile motion obeys</p><p>0x gy and</p></li><li><p>SummaryA particle undergoing projectile motion obeys</p><p>0x gy and</p><p>with initial conditions</p></li><li><p>SummaryA particle undergoing projectile motion obeys</p><p>0x gy and</p><p>with initial conditions</p><p>cosvx sinvy and</p></li><li><p>SummaryA particle undergoing projectile motion obeys</p><p>0x gy and</p><p>with initial conditions</p><p>cosvx sinvy ande.g. A ball is thrown with an initial velocity of 25 m/s at an angle of</p><p>to the ground. Determine;.43tan 1</p></li><li><p>SummaryA particle undergoing projectile motion obeys</p><p>0x gy and</p><p>with initial conditions</p><p>cosvx sinvy ande.g. A ball is thrown with an initial velocity of 25 m/s at an angle of</p><p>to the ground. Determine;.43tan 1</p><p>a) greatest height obtained</p></li><li><p>SummaryA particle undergoing projectile motion obeys</p><p>0x gy and</p><p>with initial conditions</p><p>cosvx sinvy ande.g. A ball is thrown with an initial velocity of 25 m/s at an angle of</p><p>to the ground. Determine;.43tan 1</p><p>Initial conditionsa) greatest height obtained</p></li><li><p>SummaryA particle undergoing projectile motion obeys</p><p>0x gy and</p><p>with initial conditions</p><p>cosvx sinvy ande.g. A ball is thrown with an initial velocity of 25 m/s at an angle of</p><p>to the ground. Determine;.43tan 1</p><p>Initial conditionsa) greatest height obtained</p><p>43tan 1</p><p>3</p><p>4</p><p>5</p></li><li><p>SummaryA particle undergoing projectile motion obeys</p><p>0x gy and</p><p>with initial conditions</p><p>cosvx sinvy ande.g. A ball is thrown with an initial velocity of 25 m/s at an angle of</p><p>to the ground. Determine;.43tan 1</p><p>Initial conditionsa) greatest height obtained</p><p>43tan 1</p><p>3</p><p>4</p><p>5cosvx </p></li><li><p>SummaryA particle undergoing projectile motion obeys</p><p>0x gy and</p><p>with initial conditions</p><p>cosvx sinvy ande.g. A ball is thrown with an initial velocity of 25 m/s at an angle of</p><p>to the ground. Determine;.43tan 1</p><p>Initial conditionsa) greatest height obtained</p><p>43tan 1</p><p>3</p><p>4</p><p>5</p><p>m/s205425</p><p>xcosvx </p></li><li><p>SummaryA particle undergoing projectile motion obeys</p><p>0x gy and</p><p>with initial conditions</p><p>cosvx sinvy ande.g. A ball is thrown with an initial velocity of 25 m/s at an angle of</p><p>to the ground. Determine;.43tan 1</p><p>Initial conditionsa) greatest height obtained</p><p>43tan 1</p><p>3</p><p>4</p><p>5</p><p>m/s205425</p><p>xsinvy cosvx </p></li><li><p>SummaryA particle undergoing projectile motion obeys</p><p>0x gy and</p><p>with initial conditions</p><p>cosvx sinvy ande.g. A ball is thrown with an initial velocity of 25 m/s at an angle of</p><p>to the ground. Determine;.43tan 1</p><p>Initial conditionsa) greatest height obtained</p><p>43tan 1</p><p>3</p><p>4</p><p>5</p><p>m/s205425</p><p>xsinvy cosvx </p><p>m/s155325</p><p>y</p></li><li><p>0x 10y</p></li><li><p>0x 10y1cx </p></li><li><p>0x 10y1cx 210 cty </p></li><li><p>0x 10y1cx 210 cty </p><p>15 200,when yxt </p></li><li><p>0x 10y1cx 210 cty </p><p>15 200,when yxt </p><p>20201</p><p>xc</p></li><li><p>0x 10y1cx 210 cty </p><p>15 200,when yxt </p><p>20201</p><p>xc 1510</p><p>152</p><p>ty</p><p>c</p></li><li><p>0x 10y1cx 210 cty </p><p>15 200,when yxt </p><p>20201</p><p>xc 1510</p><p>152</p><p>ty</p><p>c</p><p>320 ctx </p></li><li><p>0x 10y1cx 210 cty </p><p>15 200,when yxt </p><p>20201</p><p>xc 1510</p><p>152</p><p>ty</p><p>c</p><p>320 ctx 42 155 ctty </p></li><li><p>0x 10y1cx 210 cty </p><p>15 200,when yxt </p><p>20201</p><p>xc 1510</p><p>152</p><p>ty</p><p>c</p><p>320 ctx 42 155 ctty 0 00,when yxt</p></li><li><p>0x 10y1cx 210 cty </p><p>15 200,when yxt </p><p>20201</p><p>xc 1510</p><p>152</p><p>ty</p><p>c</p><p>320 ctx 42 155 ctty 0 00,when yxt</p><p>txc</p><p>2003</p></li><li><p>0x 10y1cx 210 cty </p><p>15 200,when yxt </p><p>20201</p><p>xc 1510</p><p>152</p><p>ty</p><p>c</p><p>320 ctx 42 155 ctty 0 00,when yxt</p><p>txc</p><p>2003</p><p>ttyc</p><p>155</p><p>02</p><p>4</p></li><li><p>0x 10y1cx 210 cty </p><p>15 200,when yxt </p><p>20201</p><p>xc 1510</p><p>152</p><p>ty</p><p>c</p><p>320 ctx 42 155 ctty 0 00,when yxt</p><p>txc</p><p>2003</p><p>ttyc</p><p>155</p><p>02</p><p>4</p><p>0when occursheight greatest y</p></li><li><p>0x 10y1cx 210 cty </p><p>15 200,when yxt </p><p>20201</p><p>xc 1510</p><p>152</p><p>ty</p><p>c</p><p>320 ctx 42 155 ctty 0 00,when yxt</p><p>txc</p><p>2003</p><p>ttyc</p><p>155</p><p>02</p><p>4</p><p>0when occursheight greatest y</p><p>23</p><p>01510</p><p>t</p><p>t</p></li><li><p>0x 10y1cx 210 cty </p><p>15 200,when yxt </p><p>20201</p><p>xc 1510</p><p>152</p><p>ty</p><p>c</p><p>320 ctx 42 155 ctty 0 00,when yxt</p><p>txc</p><p>2003</p><p>ttyc</p><p>155</p><p>02</p><p>4</p><p>0when occursheight greatest y</p><p>23</p><p>01510</p><p>t</p><p>t</p><p>445 </p><p>2315</p><p>235,</p><p>23when </p><p>2</p><p> yt</p></li><li><p>0x 10y1cx 210 cty </p><p>15 200,when yxt </p><p>20201</p><p>xc 1510</p><p>152</p><p>ty</p><p>c</p><p>320 ctx 42 155 ctty 0 00,when yxt</p><p>txc</p><p>2003</p><p>ttyc</p><p>155</p><p>02</p><p>4</p><p>0when occursheight greatest y</p><p>23</p><p>01510</p><p>t</p><p>t</p><p>445 </p><p>2315</p><p>235,</p><p>23when </p><p>2</p><p> yt</p><p>ground theabove m4111 isheight greatest </p></li><li><p>b) range</p></li><li><p>b) range</p><p>time of flight is 3 seconds</p></li><li><p>b) range</p><p>time of flight is 3 seconds </p><p>06 320,3when </p><p> xt</p></li><li><p>b) range</p><p>time of flight is 3 seconds </p><p>06 320,3when </p><p> xt</p><p>60m is range</p></li><li><p>b) range</p><p>time of flight is 3 seconds </p><p>06 320,3when </p><p> xt</p><p>60m is rangesecond</p><p>21after ball theofdirection and velocity c)</p></li><li><p>b) range</p><p>time of flight is 3 seconds </p><p>06 320,3when </p><p> xt</p><p>60m is rangesecond</p><p>21after ball theofdirection and velocity c)</p><p>01 </p><p>152110 20,</p><p>21when </p><p> yxt </p></li><li><p>b) range</p><p>time of flight is 3 seconds </p><p>06 320,3when </p><p> xt</p><p>60m is rangesecond</p><p>21after ball theofdirection and velocity c)</p><p>01 </p><p>152110 20,</p><p>21when </p><p> yxt </p><p>20</p><p>10510</p></li><li><p>b) range</p><p>time of flight is 3 seconds </p><p>06 320,3when </p><p> xt</p><p>60m is rangesecond</p><p>21after ball theofdirection and velocity c)</p><p>01 </p><p>152110 20,</p><p>21when </p><p> yxt </p><p>20</p><p>10510</p><p>432621tan</p></li><li><p>b) range</p><p>time of flight is 3 seconds </p><p>06 320,3when </p><p> xt</p><p>60m is rangesecond</p><p>21after ball theofdirection and velocity c)</p><p>01 </p><p>152110 20,</p><p>21when </p><p> yxt </p><p>20</p><p>10510</p><p>432621tan</p><p>horizontal the to4326 of anglean </p><p>at travelingisit and m/s510 velocity second,21after </p></li><li><p>d) cartesian equation of the path</p></li><li><p>d) cartesian equation of the path</p><p>20</p><p>20xt</p><p>tx</p></li><li><p>d) cartesian equation of the path</p><p>20</p><p>20xt</p><p>tx</p><p>43</p><p>80</p><p>2015</p><p>205</p><p>155</p><p>2</p><p>2</p><p>2</p><p>xxy</p><p>xxy</p><p>tty</p></li><li><p>d) cartesian equation of the path</p><p>20</p><p>20xt</p><p>tx</p><p>43</p><p>80</p><p>2015</p><p>205</p><p>155</p><p>2</p><p>2</p><p>2</p><p>xxy</p><p>xxy</p><p>tty</p><p>Exercise 3G; 1ac, 2ac, 4, 6, 8, 9, 11, 13, 16, 18</p><p>Exercise 3H; 2, 4, 6, 7, 10, 11</p><p>Slide Number 1Slide Number 2Slide Number 3Slide Number 4Slide Number 5Slide Number 6Slide Number 7Slide Number 8Slide Number 9Slide Number 10Slide Number 11Slide Number 12Slide Number 13Slide Number 14Slide Number 15Slide Number 16Slide Number 17Slide Number 18Slide Number 19Slide Number 20Slide Number 21Slide Number 22Slide Number 23Slide Number 24Slide Number 25Slide Number 26Slide Number 27Slide Number 28Slide Number 29Slide Number 30Slide Number 31Slide Number 32Slide Number 33Slide Number 34Slide Number 35Slide Number 36Slide Number 37Slide Number 38Slide Number 39Slide Number 40Slide Number 41Slide Number 42Slide Number 43Slide Number 44Slide Number 45Slide Number 46Slide Number 47Slide Number 48Slide Number 49Slide Number 50Slide Number 51Slide Number 52Slide Number 53Slide Number 54Slide Number 55Slide Number 56Slide Number 57Slide Number 58Slide Number 59Slide Number 60Slide Number 61Slide Number 62Slide Number 63Slide Number 64Slide Number 65Slide Number 66Slide Number 67Slide Number 68Slide Number 69Slide Number 70Slide Number 71Slide Number 72Slide Number 73Slide Number 74Slide Number 75</p></li></ul>