a diver jumps from a diving - board into a pool at his swim club. his height h(t) in meters t seconds after…

a diver jumps from a diving - board into a pool at his swim club. his height h(t) in meters t seconds after the dive can be modeled using the equation h(t)= - 4.9t² + 4.3t + 10. what is the y - intercept for this function? what does the y - intercept represent in the given situation? the y - intercept of this function is 10. the y - intercept represents that the diver started moving 10 seconds after the time began.

a diver jumps from a diving - board into a pool at his swim club. his height h(t) in meters t seconds after the dive can be modeled using the equation h(t)= - 4.9t² + 4.3t + 10. what is the y - intercept for this function? what does the y - intercept represent in the given situation? the y - intercept of this function is 10. the y - intercept represents that the diver started moving 10 seconds after the time began.

Answer

Explanation:

Step1: Recall y - intercept concept

The y - intercept of a function (h(t)=at^{2}+bt + c) is found when (t = 0).

Step2: Substitute (t = 0) into the function

Given (h(t)=-4.9t^{2}+4.3t + 10), when (t = 0), we have (h(0)=-4.9(0)^{2}+4.3(0)+10). Since (-4.9(0)^{2}=0) and (4.3(0)=0), then (h(0)=10). In the context of the diving situation, the y - intercept represents the initial height of the diver. When (t = 0) (the start of the dive), the diver is at a height of 10 meters, which is the height of the diving board.

Answer:

The y - intercept of the function (h(t)=-4.9t^{2}+4.3t + 10) is 10. It represents the initial height of the diver, which is the height of the diving board (10 meters).