A racing car accelerates on a straight road from rest to a speed of 50 ~m / s in 25 s . Assuming uniform acceleration of the car throughout, the distance covered in this time will be

Correct answer: (A) 625 m. a=v / t=50 / 25=2 ~m / s^2 ~S=Ut+1 / 2 at^2 =0+1 / 2 × 2 × 25 × 25 =625 ~m

Q108 / 270 · NDA 2016 (Phase 1) · General Ability

A racing car accelerates on a straight road from rest to a speed of $50 \mathrm{~m} / \mathrm{s}$ in 25 s . Assuming uniform acceleration of the car throughout, the distance covered in this time will be

Correct answer
A
625 m
B
1250 m
C
2500 m
D
50 m

Solution

$\begin{aligned} & \mathrm{a}=\mathrm{v} / \mathrm{t}=50 / 25=2 \mathrm{~m} / \mathrm{s}^2 \\ & \mathrm{~S}=\mathrm{Ut}+1 / 2 \mathrm{at}^2 \\ & =0+1 / 2 \times 2 \times 25 \times 25 \\ & =625 \mathrm{~m}\end{aligned}$

Hence, the correct answer is option: 'A'.

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