Final answer:
The formula h(t)=-4.9t^(2)+v^(0)t+h^(0) represents the height of an object at a given time t, taking into account the initial velocity v^(0) and initial height h^(0).
Step-by-step explanation:
The formula h(t)=-4.9t^(2)+v^(0)t+h^(0) represents the height of an object at a given time t, taking into account the initial velocity v^(0) and initial height h^(0). To solve for the height at a specific time, substitute the values of t, v^(0), and h^(0) into the formula.
For example, if t = 0.5 sec, v^(0) = 4.90 m/s, and h^(0) = 0 m, the formula becomes h(0.5) = -4.9(0.5)^(2) + 4.90(0.5) + 0.
Calculating the expression gives h(0.5) = -1.225 + 2.45 + 0 = 1.225 m.