A lorry accelerates uniformly in a straight line with acceleration of  \(4ms^-2\) and covers a distance of 250 m in a time interval of 10 s. How far will it travel in the next 10 s?

A.

650

B.

900

C.

800

D.

250

Correct answer is A

We first find the lorry's initial velocity
 

a = \(4ms^-2\), s= 250m,  t= 10,  u=?

⇒ ut +  \(\frac{1}{2}×4×(10^2)


⇒250= 10u + 200


⇒ 250-200 = 10u


⇒ 50 = 10u


⇒U =\frac{50}{10}\) = \(5ms^-1\)

For the next 10s, we set t=20s

= s = (5 × 20) + \(\frac{1}{2}×4×{20^2}\)

= s  = 100 + 800

⇒ 900 m

;Distance covered:900-250 =650m