Projectile motion Questions

A golfer practising on a range with an elevated tee 4.9 m above the fairway is able to strike a ball so that it leaves the club with a horizontal velocity of 20 m s^–1. (Assume the acceleration due to gravity is 9.8 m s^–2, and the effects of air resistance may be ignored unless otherwise stated.)

a) How long after the ball leaves the club will it land on the fairway?

b) What horizontal distance will the ball travel before striking the fairway?

c) What is the acceleration of the ball 0.5 s after being hit?

d) Calculate the vertical speed of the ball 0.80 s after it leaves the club.

e) With what speed will the ball strike the ground?

A bowling ball of mass 7.5 kg travelling at 10 m s^–1 rolls off a horizontal table 1.0 m high.

a) Calculate the ball’s horizontal velocity just as it strikes the floor.

b) What is the vertical velocity of the ball as it strikes the floor?

c) Calculate the velocity of the ball as it reaches the floor.

d) What time interval has elapsed between the ball leaving the table and striking the floor?

e) Calculate the horizontal distance travelled by the ball as it falls.

A large dog is thrown with an initial horizontal velocity of 4.8 m.s^-1 from the top of a building. If the dog lands 52.3 m from the bottom of the building, how high is the building?

A small dog is launched vertically from a canon with an initial velocity of 102 m.s^-1.

a) How high will the dog go?

b) How long will it take for the dog to hit the ground?

c) Which football club was the first to pay more than one million pounds for a player?