Question

A penny is dropped off the empire state building which is 1,250 feet tall. If the penny's pathway can be modeled by the equation h(t) = -16t² + 1250, what is the height of the penny at time t?

Answer 1

The height of the penny at time t can be determined by substituting the value of t into the equation h(t) = -16t² + 1250.

Step-by-step explanation:

The height of the penny at time t can be determined by substituting the value of t into the equation h(t) = -16t² + 1250.

For example, if we want to find the height of the penny at t = 2 seconds, we substitute t = 2 into the equation:

h(2) = -16(2)² + 1250

Solving this equation gives us:

h(2) = -16(4) + 1250

h(2) = -64 + 1250

h(2) = 1186 feet

Answer 2

The height of the penny at time t can be determined by substituting the time t into the equation h(t) = -16t² + 1250.

Step-by-step explanation:

The height of the penny at time t can be determined by substituting the given time t into the equation h(t) = -16t² + 1250. The equation represents the height h at time t as a function of time. By plugging in a specific time t into the equation, you can calculate the height of the penny at that particular time.

For example, if you want to find the height of the penny at time t = 2 seconds, you would substitute t = 2 into the equation:

h(2) = -16(2)² + 1250

h(2) = -16(4) + 1250

h(2) = -64 + 1250

h(2) = 1186 feet

Therefore, the height of the penny at time t = 2 seconds is 1186 feet.