An object is thrown upward from a height of 8 feet at a velocity of 72 feet per second. Use the position equation s = -16t₂ + v₀t + s₀ to select a function that represents the situation and select the graph of the function. A) s = -16t² - 72t + 8 B) s = -16t² + 72t C) s = -16t² + 72t - 8 D)s = -16t² + 72t + 8 E) s = -16t² - 72t - 8

Question

Quizplus · Accepted Answer

The position equation for this scenario is: 
s = -16t^2 + vt + s0, where 
s0 = initial height = 8 
v = initial velocity = 72 
We can substitute these values into the equation to get: 
s = -16t^2 + 72t + 8 
This matches choice D. The graph of this equation should be a parabolic shape opening downwards, since the object is thrown upwards and then falls back down due to gravity.

An Object Is Thrown Upward from a Height of 8