Resolve the initial velocity into horizontal and vertical components.

Question

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a) Calculate the velocity at which the ball hits the court.

Resolve the initial velocity into horizontal and vertical components.
The initial velocity is $u = 60 \, \text{m/s}$ at an angle $\theta = 10^\circ$ to the horizontal.
The horizontal component ( $u_x$ ) remains constant throughout the flight.
The vertical component ( $u_y$ ) is affected by gravity.
$u_x = u \cos \theta = 60 \, \text{m/s} \times \cos(10^\circ) \approx 59.088 \, \text{m/s}$ $u_y = u \sin \theta = 60 \, \text{m/s} \times \sin(10^\circ) \approx 10.419 \, \text{m/s}$
Determine the final vertical velocity component ( $v_y$ ).
We use the kinematic equation $v_y^2 = u_y^2 + 2as_y$ .
Taking upward as the positive direction:
The acceleration due to gravity is $a = -g = -9.8 \, \text{m/s}^2$ .
The vertical displacement

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