ST. MICHAEL’S COLLEGE SCHOOLSPH4U PHYSICS

GRAPHING MOTION IN A STRAIGHT LINE

1. Plotted below is the displacement-time graph for an object that is travelling along a straight north-south line.

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2. Plotted below is the displacement-time graph for an object that is travelling along a straight north-south line.

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3. The velocity – time graph below shows a car travelling from Bloor to Bathurst

i) Determine the average acceleration for the car from B to H.

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4. Here is the velocity-time graph for an elevator. The elevator starts its journey at the ground floor.

e) Determine the displacement for the elevator from A to G.

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5. The graph below describes the motion of a capsule carried on a rocket fired vertically upward. The rocket ejected the capsule at its highest point. The capsule fell freely with the rocket until its parachute opened at t = 300 s.a) At what time did the rocket reach its highest altitude? (200 s)b) What was the maximum altitude of the rocket? (8.8 x 104 m)c) What was the acceleration of the rocket during (i) the first stage, and (ii) the

second stage? (5.0 m/s2, 15 m/s2)d) What was the average acceleration of the capsule during the interval t = 100 s

to t = 300 s? (-10 m/s2)e) What was happening during the period t = 300 s to t = 400 s? f) What was the terminal velocity of the capsule just before "splashdown"? (-70 m/s)

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6. Two trains, A and B, are on separate, parallel tracks. Initially, train B is beside train A and passing it. The graph describes their motions. Using the graph, answer the following questions:

a) At t = 0.40 h, which train is ahead, and by how much? (B ahead by 2.4 km)b) What is the average velocity of train A during the first 36 min? (27 km/h)c) What is the instantaneous acceleration of train B at t = 0.30 h? (-20

km/h2)d) What is the average acceleration of train A from t = 0.40 h to t = 0.70 h? (67

km/h2)

7. Here is a v-t graph of two cars, A and B. At t = 0 s, A and B pass each other.a) Determine the acceleration of B during the final 3.0 s.-3.3 m/s2)b) Find the distance between A and B at t = 5.0 s. (2.5 m)c) Find the average velocity of A in the first 5.0 s. (12 m/s)d) Find the instantaneous acceleration of A at t = 7.0 s. (6.7 m/s2)

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