Boris plays a game of tennis. He serves from the base line to his opponent, Steffi. The path of the ball may be modelled by the

Question

Boris plays a game of tennis. He serves
from the base line to his opponent,
Steffi.
The path of the ball may be modelled
by the quadratic curve
H(x) = 2.103 +0.1455x -0.01932x²
for 0 ≤ x ≤ X.
a Find the maximum height of
the ball during its motion. (2 marks)
b The height of the net is 1.07 m. Boris is
standing on the baseline of the court,
at a horizontal distance of 11.98 m
from the net. Show that the ball just
passes over the net.
c Suggest a maximum value for X and
explain why this would be a sensible
value to take.

Kunduz · Accepted Answer

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