A tennis ball is hit straight up with an initial speed of 20 m/s at t= Os. Here we define the position where the tennis ball is initially hit as yo = Om and upward as +y direction. a)) How long does the ball take to rise to the maximum height? How long does the ball totally take to get back to its initial hit point? b) What is the maximum height does it go? c) Where is the ball located 3s after it is hit? d) Please plot the motion graph of the position y(t), the velocity v(t), as well as the acceleration a(t) for the tennis ball from t = 0 to when it returns to its initial hit point. Please mark on the motion graph the exact values of the time when it reaches to the maximum height and get back to its original hit point, as well as the exact values of x(t), v(t), and a(t) at t = Os, at maximum height, and when it goes back to its initial hit point.

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Chapter1: Units, Trigonometry. And Vectors
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A tennis ball is hit straight up with an initial speed of 20 m/s at t = 0s. Here we define the position where the tennis ball is initially hit as y0 = 0m and upward as +y direction.

A tennis ball is hit straight up with an initial speed of 20 m/s at t= Os. Here we define the position where
the tennis ball is initially hit as yo = Om and upward as +y direction.
a)) How long does the ball take to rise to the maximum height? How long does the ball totally take to get
back to its initial hit point?
b) What is the maximum height does it go?
c) Where is the ball located 3s after it is hit?
d) Please plot the motion graph of the position y(t), the velocity v(t), as well as the acceleration a(t) for
the tennis ball from t = 0 to when it returns to its initial hit point. Please mark on the motion graph the
exact values of the time when it reaches to the maximum height and get back to its original hit point, as
well as the exact values of x(t), v(t), and a(t) at t = Os, at maximum height, and when it goes back to its
initial hit point.
Transcribed Image Text:A tennis ball is hit straight up with an initial speed of 20 m/s at t= Os. Here we define the position where the tennis ball is initially hit as yo = Om and upward as +y direction. a)) How long does the ball take to rise to the maximum height? How long does the ball totally take to get back to its initial hit point? b) What is the maximum height does it go? c) Where is the ball located 3s after it is hit? d) Please plot the motion graph of the position y(t), the velocity v(t), as well as the acceleration a(t) for the tennis ball from t = 0 to when it returns to its initial hit point. Please mark on the motion graph the exact values of the time when it reaches to the maximum height and get back to its original hit point, as well as the exact values of x(t), v(t), and a(t) at t = Os, at maximum height, and when it goes back to its initial hit point.
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