AS/A2 Mech 2 Mech 3

M1 Topic 3: Kinematics
Velocity-time graphs 1
The graph below shows a velocity - time graph for the motion of a particle. The motion has three stages. Stage 1. The particle travels from rest with constant accleration for t=t1 seconds. Stage 2. The particle travels at constant velocity from t = t1 to t=t2 seconds. Stage 3. The particle travels with constant deceleration until it stops at time t=t3. The area under the graph represents the total distance travelled.

Please enable Java for an interactive construction (with Cinderella).

Find the total distance travelled in these cases:
1	When constant acceleration = 1 ms-2, t1 = 3 seconds, t2 = 6 seconds, t3 = 9 seconds.
2	When constant acceleration = 1.5 ms-2, t1 = 4 seconds, t2 = 6 seconds, t3 = 12 seconds.

Answers 1. 18 m 2. 42 m Cinderella interactive geometry.