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Question: An object accelerates from rest to a velocity 27.5 m/s in 10 sec then find distance covered by objec...

An object accelerates from rest to a velocity 27.5 m/s in 10 sec then find distance covered by object in next 10 sec

A

550 m

B

137.5 m

C

412.5 m

D

275 m

Answer

412.5 m

Explanation

Solution

u = 0, v=27.56mum/sv = 27.5\mspace{6mu} m/s and t = 10 sec

a=27.5010=2.756mum/s2\therefore a = \frac{27.5 - 0}{10} = 2.75\mspace{6mu} m/s^{2}

Now, the distance traveled in next 10 sec,

S=ut+12at2=27.5×10+12×2.75×100S = ut + \frac{1}{2}at^{2} = 27.5 \times 10 + \frac{1}{2} \times 2.75 \times 100

= 275 + 137.5 = 412.5 m