Question

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The velocity-time graph of a body is shown below. Find

(i) its uniform acceleration over each of the intervals PQ, QR and

RS.

(ii) the average speed over each of the intervals graphically.

(iii) the total distance covered in 10s.

Answer 1

Answer:

I) it's uniform acceleration over each of the intervals PQ, QR and RS

Answer 2

Answer:

(i) PQ = acceleration is positive

a = V/ t

a = 30 / 6

a = 5m/s^2

QR = Here, the body is moving with uniform velocity so, the acceleration = 0

Because acceleration is change in velocity with time.

RS = acceleration is negative because the velocity of body is decreasing.

a = - V/ t

a = - 30 / 10 - 8

a = - 30 / 2

a = - 15 m/s^2

(ii) average speed = initial speed + final speed/2

average speed = 0 + 30 / 2

average speed = 30 / 2 = 15 m/s

(iii) Total distance = Velocity × time

d = 30 × 10

d = 300m.