Question

A ship was moving at a speed of $500m{s}^{-1}$ and it attained speed of 600 $m{s}^{-1}$ in 5 seconds. What is the acceleration of the ship?

• A. $20m{s}^{-2}$
• B. $30m{s}^{-2}$
• C. $10m{s}^{-2}$
• D. $50m{s}^{-2}$

Answer 1

The correct option is A $20m{s}^{-2}$

Given, initial velocity, $u=500m{s}^{-1}$, final velocity, $v=600m{s}^{-1}$ and time taken, t = 5 s
Let acceleration be 'a'.
From first equation of motion,
v = u + at
$600=500+a\times 5$
$\Rightarrow a=\frac{600-500}{5}$ = $20m{s}^{-2}$