A car is travelling at 30 m/s. If its velocity increases to 50 m/s while accelerating at the rate of 2.5 m/s $^{2}$ find the time taken to reach that velocity.

10 s

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8 s

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4 s

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5 s

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Solution

The correct option is B 8 s
Given Final velocity (v) = 50 m/s
Initial velocity (u) = 30 m/s
Acceleration (a) = 2.5 m/s $^{2}$
We know v = u + at
$∴$ 50 = 30 + 2.5 t
$\Rightarrow$ 50 - 30 = 2.5 t
$\Rightarrow$ $\frac{20}{2.5}$ = t or 8 = t
$∴$ Time taken to accelerate = 8 seconds

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A car is travelling at 30 m/s. If its velocity increases to 50 m/s while accelerating at the rate of 2.5 m/s2 find the time taken to reach that velocity.

The correct option is B 8 sGiven Final velocity (v) = 50 m/s Initial velocity (u) = 30 m/s Acceleration (a) = 2.5 m/s2We know v = u + at∴ 50 = 30 + 2.5 t⇒ 50 - 30 = 2.5 t⇒ 202.5 = t or 8 = t∴ Time taken to accelerate = 8 seconds

A car is travelling at 30 m/s. If its velocity increases to 50 m/s while accelerating at the rate of 2.5 m/s $^{2}$ find the time taken to reach that velocity.

The correct option is B 8 s
Given Final velocity (v) = 50 m/s
Initial velocity (u) = 30 m/s
Acceleration (a) = 2.5 m/s $^{2}$
We know v = u + at
$∴$ 50 = 30 + 2.5 t
$\Rightarrow$ 50 - 30 = 2.5 t
$\Rightarrow$ $\frac{20}{2.5}$ = t or 8 = t
$∴$ Time taken to accelerate = 8 seconds