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
Question
Find the value of h(0). Include proper units. What does this output represent?
2 Answer

1. User Answers tramserran
Answer: h(0) = 100 , h(0) represents intial height
Stepbystep 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

2. User Answers ernikhil
The height of the ball at [tex]0\;\rm seconds[/tex] is [tex]100\;\rm feets[/tex] 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 [tex]h(t)=10016t^2[/tex] where [tex]h[/tex] is the height of the building in feet and [tex]t[/tex] is the elapsed time in seconds.
Substitute [tex]t=0[/tex] in the height equation to determine the height of the ball at 0 second as
[tex]h(0)=10016(0)^2\\h(0)=100\;\rm feets[/tex]
Hence, the height of the ball at [tex]0\;\rm seconds[/tex] is [tex]100\;\rm feets[/tex] as the ball was at the top of the building in the hand of the physics student.
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