QuestionJune 16, 2025

18. A Hot Wheels car rolls off a table at a speed of 3.57m/s and hits the floor a distance of 0.91 meters from the table's edge. Determine the height of the table.

18. A Hot Wheels car rolls off a table at a speed of 3.57m/s and hits the floor a distance of 0.91 meters from the table's edge. Determine the height of the table.
18. A Hot Wheels car rolls off a table at a speed of 3.57m/s and hits the floor a distance of 0.91 meters from the
table's edge. Determine the height of the table.

Solution
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Answer

The height of the table is approximately 0.032 \, \text{meters}. Explanation 1. Calculate time of flight Use horizontal motion formula: t = \frac{d}{v}, where d = 0.91 \, \text{m} and v = 3.57 \, \text{m/s}. Thus, t = \frac{0.91}{3.57}. 2. Calculate height using vertical motion Use vertical motion formula: h = \frac{1}{2}gt^2, where g = 9.81 \, \text{m/s}^2 and t is from Step 1. Substitute t to find h.

Explanation

1. Calculate time of flight<br /> Use horizontal motion formula: $t = \frac{d}{v}$, where $d = 0.91 \, \text{m}$ and $v = 3.57 \, \text{m/s}$. Thus, $t = \frac{0.91}{3.57}$.<br />2. Calculate height using vertical motion<br /> Use vertical motion formula: $h = \frac{1}{2}gt^2$, where $g = 9.81 \, \text{m/s}^2$ and $t$ is from Step 1. Substitute $t$ to find $h$.
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