Analyzing of motion

1. Linear motion can be studied in the laboratory using a ticker timer and a ticker tape.a. Determination of time: (frequency of ticker timer = 50 Hz)

2. Determine the type of motion;

…………………………………………………….

…………………………………………………….

…………………………………………………….

3. Determination of velocity

displacement = ……………………… time = ………………………………..velocity = ……………………………..

4. Determine the acceleration

The equation of motion1. The important symbols:

x :………………………………..u :………………………………..v :………………………………..a :………………………………..t :………………………………..

2. The list of important formula;

Example 1: A car travelling with a velocity of 10 ms-1 accelerates uniformly at a rate of3 ms-2 for 20 s. Calculate the displacement of the car while it is accelerating.

Example 2:A van that is travelling with velocity 16 ms-1 decelerates until it comes to rest.If the distance travelled is 8 m, calculate the deceleration of the van.

Example 3:

Figure shows a tape chart consisting of 5-tick strip. Describe the motion represented by AB and BC. In each case, determine the;

(a) Displacement(b) Average velocity(c) Acceleration

Example 4:A car moving with constant velocity of 40 ms-1. The driver saw and obstacle in front and he immediately stepped on the brake pedal and managed to stop the car in 8 s. The distance of the obstacle from the car when the driver spotted it was 180 m. How far is the obstacle from where the car has stopped?

2.2 ANALYSING MOTION GRAPHS

The displacement-time Graph

Graph Graph analysis

The object is ……………………… or is …………………………

Velocity = …………………………

The object move with ………………………

The object moves with ……………….. for t seconds.

After t seconds, the object returns to origin (reverse) with …………………

Total displacement is …………………

Displacement ……………... with time. The object moves with ………………..

velocity with ………………….. acceleration.

Displacement ……………... with time. The object moves with …………………

velocity, with ……………………. deceleration

OA =………………………………… AB = ………………………………… BC = …………………………………

The velocity-time Graph

Graph Graph analysisZero gradient the object moves with a ____________ velocity or the acceleration is equal to ____________The area under the graph is equal to the displacement of the moving object

Its velocity _____________The graph has a ____________ gradientThe object moves with a uniform ____________

The object moves with increasing ____________ with a uniform ____________After t1 s, the ____________ of object decreasing or ____________ uniformly( negative gradient ) until it comes to rest.

The shape of the graph is a curveIts velocity ____________ with time.The gradient of the graph ____________.The object moves with increasing ____________.

The shape of graph is a curveIts velocity __________ with time.The gradient of the graph ____________ uniformly.The object moves with a ____________ acceleration.

Examples

Calculate:-(i) Velocity over OP, QR and RS(ii) Displacement

2.

Exercise

1.

Describe and interpret the motion of a body which is represented by the displacement time graphs

(a) ………………………………………………………………………………………………………………………………………………………………………………………………………………

(b) ………………………………………………………………………………………………………………………………………………………………………………………………………………

(c) ………………………………………………………………………………………………………………………………………………………………………………………………………………

2. Describe and interpret the motion of body which is represented by the velocity-time graphs.

(a) ………………………………………………………………………………………………………………………………………………………………………………………………………………

(b) ………………………………………………………………………………………………………………………………………………………………………………………………………………

Calculate:-(i) Acceleration, a over OP, PQ and QR(ii) Displacement