Question

biker travelling at 44 metre per second passes a motorcycle police man at rest at the side of the road the policeman accelerates at 3.26 meters per second squared how long does it take the police man to catch the biker

Answer 1

Given info : biker travelling at 44 m/s passes a motorcycle police man at rest at the side of the road the policeman accelerates at 3.26 m/s².

To find : how long does it take the police man to catch the biker ?

solution : let after t sec, policeman catches the biker.

distance travelled by the biker, s = speed × time = 44t

distance travelled by the policeman, s = ut + 1/2 at² = 0 × t + 1/2 × 3.26 × t²

= 1.63t²

To catch the biker,

distance travelled by the biker = distance travelled the policeman

⇒44t = 1.63t²

⇒t = 44/1.63 = 27 sec

Therefore the policemen catches the biker after 27sec.