Please answer all the questions, Thank you! In a tennis match, a tennis ball tra

Question

Please answer all the questions,

Thank you!

In a tennis match, a tennis ball traveling east at 43 m/s is hit by tennis racket at returned to the opposing player. The graph shows the force exerted on the ball as a function of time (note the time is scaled in milliseconds). The direction of the force is F, (N) below that west. 210 t (ms) 0 10 20 30 40 How can you use the graph to determine the return speed of tennis ball? Why is this a valid solution method? the What is the return speed of the tennis ball? The mass of a tennis ball is 58.1 grams. Before the tennis ball begins to move west, it has to stop moving east. Using the graph, determine how long it takes the tennis ball to go from 43 m/s (east) to 0 m/s?

Explanation / Answer

first find the impulse

Impulse = area of graph

J = (40 + 10)*10^-3*210/2 = 5.250 kg m/s

from momentum impulse theorem

impulse = change in momentum

J = m*(vf - vi)

vf = (J/m) + vi

vf = (5.25/0.0581) + 43 = 133.4 m/s

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the speed becomes 0 at time t = 20 s

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