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A car starts from rest and moves with a constant acceleration of $5 m / s^{2}$ for 10 seconds before the driver applies the break. It then decelerates for 5 seconds coming to rest. The average speed of the car over the entire journey is

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23 m/s

30 m/s

33 m/s

25 m/s

answer is D.

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Detailed Solution

$V_{\max} = a t = 50 m s^{- 1} s_{1} = 25 \times 10 = 250 m$ S=

$S = \frac{1}{2} \times 50 \times 5 = 125 m$

$< V > = \frac{S}{\sum t} = 25 m s^{- 1}$

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