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Q.

In the Figure, find the velocity at t = 5 seconds. Given a is in m s–2 and t is in s.

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a

20 m s-1

b

30 m s-1

c

25 m s-1

d

15 m s-1

answer is D.

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Detailed Solution

To find the velocity we need to find the area under the slope.

Velocity = area under the (a – t) curve

Since the section bound by the line and axes forms a triangle,

Velocity  = 1/2 x base x height 

                  = 1/ 2 × 5 × 10 

                  = 25 m s–1

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