Question

Jennifer hit a golf ball from the ground and it followed the projectile h(t)=-16t² +100t, where t is the time in seconds, and h is the height of the ball. Find the highest point that her golf ball reached.

Answer 1

The highest point Jennifer's golf ball reached is found by determining the vertex of the function ( h(t) = -16t^2 + 100t ). The vertex occurs at ( t = 3.125 ) seconds.

Step-by-step explanation:

The highest point that Jennifer's golf ball reached can be found by determining the maximum value of the function h(t) = -16t² + 100t. This function represents the height of the ball at any given time t. To find the highest point, we need to find the vertex of the parabolic function. The vertex of a parabola in the form h(t) = at² + bt + c can be found using the formula t = -b/2a. In this case, a = -16 and b = 100. Plugging these values into the formula, we get t = -100/(2*(-16)) = 3.125. Therefore, the highest point that Jennifer's golf ball reached is at a time of t = 3.125 seconds.