Question

Bryan threw a tennis ball into the air. The ball hit the ground and bounced once before landing in a mud puddle. Which graph best models the height of the ball over time?

Answer 1

Answer: A child tosses a tennis ball into the air and it lands in the mud. The function h(t)=−16t2+16t+4

h

(

t

)

=

−

16

t

2

+

16

t

+

4

h(t)=−16t

2

+16t+4 gives the ball's height in feet with respect to time in seconds. a. Sketch a graph of y = h(t). Highlight the portion of the curve that fits this situation. b. What is happening to the height of the tennis ball with respect to the time? c. Since velocity is a function of distance traveled overtime, what part of the graph represents the velocity of the ball? What is happening to the velocity of the tennis ball with respect to time? d. Copy and complete the following table of time (s) versus height (ft). $$\begin{matrix}\text{t (s)} & \text{0} & \text{0.25} & \text{0.5} & \text{0.75} & \text{1} & \text{1.25} & \text{1.50}\\text{h (ft)} & \text{} & \text{} & \text{} & \text{} & \text{} & \text{} & \text{_}\\end{matrix}$$ e. Use the table to determine the ball's average velocity in ft/sec for each 0.25-second time interval. f. Predict the velocity of the ball at t = 0.8 seconds. Be prepared to justify your answer to the class.

Step-by-step explanation: