The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a ball thrown with a speed of `40 m s^-1` can go without hitting the ceiling of the hall?

A ball is projected vertically upward with a speed of 50 m/s. Find the maximum height.

A cricketer can throw a ball to a maximum,horizontal distance of 100 m. How much high above the ground can the cricketer throw the same ball?

When a ball hits a wall with a velocity of 50m/s and bounces back with the same speed, what is the change in velocity of the ball?

A ball is projected vertically upward with a speed of 50 m/s. Find the time to reach the maximum height,

A player throws a bail upwards with an initial speed of 29.4 m s^-1 . What is the direction of acceleration during the upward motion of the ball?

A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to 49 m/s. How much time does the bail take to return to his hands? If the lift starts moving up with a uniform speed of 5 m/s and the boy again throws the ball up with the maximum speed he can, how long does the ball take to return to his hands?

Rain is falling vertically with a speed of 30 m s^-1 . A woman rides a bicycle with a speed of 10 m s^-1 in the north to south direction. What is the direction in which she should hold her umbrella?

A police van moving on a highway with a speed of 30 km h_ 1 fires a bullet at a thief’s car speeding away in the same direction with a speed of 192 km h^-1 . If the muzzle speed of the bullet is 150 m s^1 with what speed does the bullet hit the thief’s car ? (Note: Obtain that speed which is relevant for damaging the thief’s car).

A-stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. What is the tension in the string? What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200. N?

A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 m s^1. What is the trajectory of the bob if the string is cut when the bob is (a) at one of its extreme positions, (b) at its mean position.