Question

The initial speed of a tennis ball is 54.7 m/s, and the launch angle is θi=25°. Neglect air resistance.

a) Calculate the horizontal component of the ball's velocity.
b) Determine the vertical component of the ball's velocity.
c) Find the total time of flight for the tennis ball.
d) Calculate the maximum height reached by the tennis ball.

Answer 1

To answer the student's physics homework on projectile motion, we use trigonometry to calculate the horizontal and vertical components of a tennis ball's velocity and kinematic equations to find its total time of flight and maximum height.

Step-by-step explanation:

The question concerns calculating the components of velocity, time of flight, and maximum height for a tennis ball in projectile motion, assuming no air resistance. To calculate the components of the initial velocity, you can use trigonometry:

• Horizontal component (Vx) = initial speed (V) × cos(θi)
• Vertical component (Vy) = initial speed (V) × sin(θi)

To determine the time of flight and maximum height, you can use the kinematic equations for projectile motion:

• Time of flight (T) = (2 × Vy) / g, where g is the acceleration due to gravity
• Maximum height (H) = (Vy²) / (2g)

By plugging in the given values, we can solve for the components of velocity, time of flight, and maximum height for the tennis ball.