A golf club has an area of land where golfers can practise their golf shots. Distances are marked out along the land in front of where the golfer stands, to measure the distance travelled by the ball.
Two levels are available. If the lower level is used, the ball lands at the same height from which it was hit. If the higher level is used, this enables the ball to be hit further.
(a) A ball is given an initial velocity of 33 m s−1 at an angle of 28° to the horizontal.
When hit from the lower level, this ball travels a horizontal distance of 92 m before landing. Use of the higher level increases the horizontal distance travelled before landing by 10 m.
Deduce whether an upper level at a height of 4.5 m would be sufficient to produce this increase. You should ignore air resistance.
