Question

An object is thrown upward at time t=0. After t seconds, its height is y=−4.9t2+7t+1 meters above the ground.

What is the acceleration due to gravity?

Answer 1

If you've taken any physics course, you know the acceleration due to gravity is 9.8 m/s^2. However, if we want to show this mathematically, then we can find the second derivative of the function, which yields acceleration:

height y = -4.9t^2 + 7t + 1
velocity y' = -9.8t + 7
acceleration y'' = -9.8 m/s^2

Answer 2

ah ok, ty and havent taken physics yet. next semester