Question

The height of a football is given by the equation h = -5t^2 + 15t, where h is the height above the ground in meters, and t is the elapsed time in seconds.

a) Write the factored form of this equation.

Answer 1

The factored form of the equation h = -5t^2 + 15t is h = -5t(t - 3).

Step-by-step explanation:

The factored form of the equation h = -5t^2 + 15t is:

h = -5t(t - 3)

Since the equation h = -5t^2 + 15t represents a quadratic equation, it can be factored by finding the roots of the equation. The roots of the equation are t = 0 and t = 3. Therefore, the factored form of the equation is h = -5t(t - 3).