Question: A ball is kicked from the ground with an initial speed of 20 m s 1 at an angle of 30. Its position after t

A ball is kicked from the ground with an initial speed of 20 m s⁻¹ at an angle of 30°. Its position after t seconds can be described using the following parametric equations

a. Find the horizontal distance travelled by the ball when it hits the ground. A player wants to head the ball when it is descending between 1.5 m and 2.5 m off the ground.

b. Find the range of time after the ball has been kicked at which the player can head the ball.

c. Find the closest distance from where the ball has been kicked at which the player can head the ball.

x = 103 tm, y=(-4.9t + 10t) m, 0 < t

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