A tennis ball is mounted on a spring that is suspended from a ceiling in John's...
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A tennis ball is mounted on a spring that is suspended from a ceiling in John's dorm room. For entertainment, stress relief, boredom or just for a pure conversation piece, the tennis ball can be pulled down and released and the ball will bounce up and down. The function below, h(t) represents the height in feet that the tennis ball is from the floor at any given time t, measured in seconds, after the ball is pulled down and released. h(t) = 6+4 cos(1.25 - 0.5) a. Find the values of h(1.9) and h'(1.9). Then, explain, using correct units of measure, what each value represents in the context of this problem. b. At t=3, is the ball ascending or descending? Give a reason for you answer based on h'(t). c. Find an equation for h'(1) and sketch the graph of h'(1) on the grid below for 0<1<4. 12 -12 d. On the interval 2<1<3, reason for your answer based on the graph of H'(0) and at what height is the ball at this time? what value of r does the ball reach a minimum height? Give a A tennis ball is mounted on a spring that is suspended from a ceiling in John's dorm room. For entertainment, stress relief, boredom or just for a pure conversation piece, the tennis ball can be pulled down and released and the ball will bounce up and down. The function below, h(t) represents the height in feet that the tennis ball is from the floor at any given time t, measured in seconds, after the ball is pulled down and released. h(t) = 6+4 cos(1.25 - 0.5) a. Find the values of h(1.9) and h'(1.9). Then, explain, using correct units of measure, what each value represents in the context of this problem. b. At t=3, is the ball ascending or descending? Give a reason for you answer based on h'(t). c. Find an equation for h'(1) and sketch the graph of h'(1) on the grid below for 0<1<4. 12 -12 d. On the interval 2<1<3, reason for your answer based on the graph of H'(0) and at what height is the ball at this time? what value of r does the ball reach a minimum height? Give a
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