A ball is projected from the top of a tower of 110 m height with a velocity of 100 m/s and at an angle of elevation 25 to the horizontal, as shown in Fig. 12.6. Neglecting the air resistance, find (i) the maximum height the ball will rise from the ground, (ii) the horizontal distance it will travel just before it strikes the ground and (iii) the velocity with which it will strike the ground. u = 100 m/s 25 110 m A car A is travelling along a straight highway, while a truck B is moving along a circular curve of 150 m radius. The speed of car A is increased at the rate of 1.5 m/s and the speed of truck B is being decreased at the rate of 0.9 m/s. For the position shown in Fig. 12.26(a), determine the velocity of A relative to B and the acceleration of A relative to B. At this instant the speed of A is 75 km/hr and that of B is 40 km/hr. 30 R = 150m Fig. 12.26(a) X Fig. 12.6 B VB = 40 km/hr 75 km/hr Two trains P and Q leave the same station on parallel lines. Train P starts at rest with uniform acceleration of 0.2 m/s attains a speed of 10 m/s. Further the speed is kept constant. Train Q leaves 30 seconds later with uniform acceleration of 0.5 m/s from rest and attains a maximum speed of 20 m/s. When will train Q overtake train P?