ap calculus curriculum module: motion - college board
TRANSCRIPT
AP® Calculus:Motion
2008Curriculum Module
2
(12) (8) 5 7 1 m / min 1 m(10) .
12 8 12 8 2 min 2 min
v vv
2
(4) (2) 6 9 3 ft / sec 3 ft
4 2 4 2 2 sec 2 sec
v v
0 11
1 15
3 11
5 31
v(t)
v(t) dt
0
11
r(t) t3 4t2 6
r (2)
r(t) dt
0
4
r(t) dt
0
4
Time, t 0 2 6 10
Velocity, v(t) 5 3 -1 -8
Acceleration,
a(t)
0 -1 -3 -5
v(t) dt
0
10
v(t) dt
0
10
v(t) dt
0
10
a(t)dt
0
10
v(t)dt
0
11
2 183
22
33
2
x(11) x(0) v(t)dt
0
11
2 2 183
22
29
2
r (2) 42
km/hr km= 4
hr hr
r(2) 2
r (2) 4
4
r(t)dt
0
4
2.667
r(t)
r(t) dt
0
4
11.529
v(t)dt
0
10
5 2 3 4 ( 1)(4) 18
v(t) dt
0
10 1
22(5 3)
1
24(3 1)
1
24(1 8) 34
a(t)dt
0
10
v(10) v(0) 8 5 13