Step-by-step explanation:
To find the height of the stone above the ground, h(t), after t seconds, we can use the equation h(t) = -16t^2 + vt + h0, where:
- h(t) is the height of the stone (in feet) at time t,
- v is the initial velocity of the stone (in feet per second), and
- h0 is the initial height of the stone (in feet).
Given:
- Initial velocity, v = 52 ft/s (upward),
- Initial height, h0 = 378 ft.
Plugging in the values, we get:
h(t) = -16t^2 + 52t + 378
So, the height of the stone above the ground after t seconds can be calculated using the above equation.
