Tue, 08/26/2014 - 12:41 — anujpanwar

Q3.6 A car moving along a straight highway with speed of 126 km h^{-1} is brought to a

stop within a distance of 200 m. What is the retardation of the car (assumed

uniform), and how long does it take for the car to stop ?

Ans:

Q3.7 Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h^{-1} in the same direction, with A ahead of B. The driver of

B decides to overtake A and accelerates by 1 ms^{-2}. If after 50 s, the guard of B just

brushes past the driver of A, what was the original distance between them ?

Ans:

Q3.8 On a two-lane road, car A is travelling with a speed of 36 kmh^{-1}. Two cars B and C approach car A in opposite directions with a speed of 54 kmh^{-1} each. At a

certain instant, when the distance AB is equal to AC, both being 1 km, B decides

to overtake A before C does. What minimum acceleration of car B is required to

avoid an accident ?

Ans:

Q3.9 Two towns A and B are connected by a regular bus service with a bus leaving in

either direction every T minutes. A man cycling with a speed of 20 km h^{-1} in the

direction A to B notices that a bus goes past him every 18 min in the direction of

his motion, and every 6 min in the opposite direction. What is the period T of the

bus service and with what speed (assumed constant) do the buses ply on the

road?

Ans: