Question

A body moving with an initial velocity of 1 m/s
accelerates uniformly at 0.5 m/s2. Find out its
velocity when it has a displacement of 48 m?
A) 7 m/s
B) 24 m/s
C) 6 m/s
D) 1 m/s

Answer 1

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Answer 2

Answer:

(A) 7 m/s

Explanation:

Given:

Initial velocity = 1 m/s (u)

Acceleration = 0.5 m/s² (a)

To find:

Velocity when displacement is 48 m, so:

s= 48 m

V = (unknown)

So, here we can use the third equation of motion which says:

$v^{2}-u^{2} = 2as$

So, substituting the values, we get;

$v^{2} -1^{2} =2 \times 0.5 \times 48$

$v^{2} -1 = 1 \times 48$

$v^{2} -1 = 48$

$v^{2} = 48+1$

$v^{2} = 49$

$v = \sqrt{49}$

$v = 7 m/s$

The velocity of the train when displacement is 48 metres is equal to 7m/s

Option (A) is the right answer