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Graphs of Motion

Question 1:

The v-t graph for a particle is as shown. The distance travelled in the first four second is

1. 12 m

2. 16 m

3. 20 m

4. 24 m

View Answer

Area bounded by v-t graph represents displacement. Here.

Area = (1/2)×4×8= 16

So, Distance travelled is 16 m.

Question 2:

A particle starts form rest. Its acceleration (a) versus time (t) is as shown in the figure. The maximum speed of the particle will be

1. 110 ms–¹

2. 55 ms–¹

3. 550 ms–¹

4. 660 ms–¹

View Answer

Area of acceleration time graph represents change in velocity. As acceleration is always positive speed is always increasing.

Area = (1/2)× 10× 11 = 55

So, max. speed of 55 m/s

Question 3:

A rocket is fired upwards. Its velocity versus time graph is shown in figure. The maximum height reached by the rocket is :

1. 7.1 km

2. 79.2 km

3. 72 km

4. Infinite

View Answer

Question 4:

The position-time (x-t) graphs for two children A and B returning from their school O to their homes P and Q respectively are as shown in the figure. Choose the incorrect statement regarding these graphs :

1. A lives closer to the school than B

2. A starts from the school earlier than B

3. A walks faster than B

4. A and B reach home at the same time

View Answer

Slope of x-t graph represents velocity. slope is more for B so it will have higher velocity