A tennis ball is dropped from a certain height. The graph below shows its height hh in centimeters after tt seconds. What is the ball's initial height?
0
Time (in seconds)
Height (in centimeters)
t
h
0
Time (in seconds)
Height (in centimeters)
(0, 176.4)
(0.6, 0)
Answer
Attempt 1 out of 3

centimeters

To determine the initial height of the tennis ball, we need to look at the height of the ball at time \( t = 0 \).

Given that the point \( (0, 176.4) \) is on the graph, this indicates that at \( t = 0 \) seconds, the height \( h \) is 176.4 centimeters.

So, the ball's initial height is **176.4 centimeters**.

Would you like more details, or do you have any questions?

Here are 5 related questions:

1. How would you calculate the time it takes for the ball to reach the ground?
2. What equation could describe the height of the ball as a function of time?
3. How does gravity influence the motion of the tennis ball?
4. What assumptions are made when modeling the ball's height in this scenario?
5. How would the graph change if the ball were thrown upwards initially?

**Tip:** Always check the initial conditions in any problem involving motion to ensure accurate calculations.

Explore how to determine the initial height of a tennis ball using graph analysis. Given the graph showing height vs. time, find out the ball's initial height when it was dropped. Detailed solution and analysis provided.

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