On a recently discovered planetoid, acceleration due to gravity is 13 feet/ sec². While building a research habitat, a hammer is dropped from the top of a tower and hits the ground in 15 seconds. Because the hammer is dropped, its initial velocity is 0. Use a graph of the velocity function to determine the height of the tower. A)1463 feet B)1125 feet C)1170 feet D)1755 feet

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Quizplus · Accepted Answer

The height of the tower can be found using the formula for the distance traveled under constant acceleration, which is $d = \frac{1}{2}gt^2$, where $g$ is the acceleration due to gravity and $t$ is the time. Plugging in the given values, $d = \frac{1}{2} \times 13 \times 15^2 = \frac{1}{2} \times 13 \times 225 = 1462.5$ feet, which rounds to 1463 feet.

On a Recently Discovered Planetoid, Acceleration Due to Gravity Is