A truck is moving with a certain uniform velocity. It is accelerated uniformly by $0.75 m / s^{2}$ . After 20 seconds, the velocity of the truck becomes 72 km/h. What is the initial velocity of the truck?

18 m/s

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14 m/s

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9 m/s

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5 m/s

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Solution

The correct option is D
5 m/s

Final velocity of the truck, $v = 72 k m / h = 72 \times \frac{5}{18} = 20 m / s$
Acceleration, $a = 0.75 m / s^{2}$
Let the initial velocity of the truck be $u$
From the first equation of motion,
$v = u + a t$
or, $u = v - a t$
$= 20 - 0.75 \times 20$
$= 20 - 15$
$= 5 m / s$

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