Question

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

(a) 625 m

(b) 1250 m

(c) 2500 m

(d) 50 m

Answer 1

Correct option is (a) 625 m

Given, v = 50 m/s

u = 0 m/s and t = 25s

As, we know that, 

\(s = ut + \frac 12 at^2\)

⇒ \(s = \frac 12 \times at^2\)

Here, \(a = \frac{v - u}t\)

\(=\frac{50 - 0}{25}\)

\(a = 2 m/s^2\)

\(s = \frac 12 \times 2 \times (25)^2\)

\(= 625 m\)