Question

the formula for the height, h(t), of a projectile is h(t)= - 4.9t^{2}+v_{0}t + h_{0}, where t is the time in seconds, v_{0} is the initial velocity measured in meters per second, and h_{0} is the initial height of the object, measured in meters. annabelle threw a book out of a window from a height of 6 meters, with an initial velocity of 4 m/s. complete the function that she would need to use to find the height of the book at various times.

Explanation:

Step1: Identify the values of $v_0$ and $h_0$

Given $v_0 = 4$ m/s and $h_0=6$ m.

Step2: Substitute into the formula

The formula is $h(t)=-4.9t^{2}+v_0t + h_0$. Substituting the values, we get $h(t)=-4.9t^{2}+4t + 6$.

Answer:

$h(t)=-4.9t^{2}+4t + 6$