The velocity-time graph for motion of two bodies A and B is as shown. Read the graph carefully and answer the following questions:
Which of the two bodies has a higher velocity at time
t = 2s (b) t= 4s?
Which of the two bodies has (a) constant velocity (b) increasing velocity?
At what time is the velocity of the two bodies same?
What is the velocity of A and B at time t=1s?
What is the change in the velocity of body B over a 2 second interval ?
Answers
Answer:
let us take the body moving with uniform velocity as A and the other moving with uniform acceleration B(having inclined slope).
1. a) at t = 2s body A has higher velocity
b) at t = 4s body B has higher velocity.
2. a) body A has constant velocity .
b) body B has increasing velocity.
3. at t = 3s the velocity of the two bodies is same .
4. at t = 1s velocity of
body A is 30m/s and body B is 10m/s.
5. at first time interval (that is at t = 2s) the velocity is 20m/s. And at second time interval (that is at t = 4s) the velocity is 40m/s.
change in velocity = velocity at second interval - velocity at first interval
= (40-20)m/s
= 20m/s
Explanation:
Given the velocity-time graph for motion of two bodies A and B.
As it is not mentioned, let us say the body moving with uniform velocity is A and the body moving with uniform acceleration is B.
1. At t = 2s, body A has higher velocity, v = 30m/s.
At t = 4s, body B has higher velocity, v = 40m/s.
2. Body A is moving constant velocity, v = 30m/s.
Body B has increasing velocity, started with 0m/s and maximum it reached to 40m/s in 4 seconds.
3. At t = 3s, the velocity of the two bodies is same, both equal to 30m/s.
4. The velocity of A at time t=1s is 30m/s and that of B is 10m/s.
5. The initial velocity of body B,
After the time interval, t = 2s, the velocity
The change in the velocity,
Therefore, the change in the velocity is 20m/s.