Question

Physics students drop a ball from the top of a 100 foot high building and model its height as a function time with the equation h(t) = 100 - 16t^2.The height, h, is measured in feet and time, t, is measured is seconds.
Find the value of h(0). Include proper units. What does this output represent?

Answer 1

Answer: h(0) = 100 ,  h(0) represents intial height

Step-by-step explanation:

h(t) = 100 - 16t²

h(0) = 100 - 16(0)²

      = 100 - 0

      = 100

h(0) represents the height at 0 seconds, which is the initial height

Answer 2

The height of the ball at $0\;\rm seconds$ is $100\;\rm feets$ as the ball was at the top of the building in the hand of the physics student.

According to the question, the given height function is $h(t)=100-16t^2$ where $h$ is the height of the building in feet and $t$ is the elapsed time in seconds.

Substitute $t=0$ in the height equation to determine the height of the ball at 0 second as-

$h(0)=100-16(0)^2\\h(0)=100\;\rm feets$

Hence, the height of the ball at $0\;\rm seconds$ is $100\;\rm feets$ as the ball was at the top of the building in the hand of the physics student.

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