Question

tallulah launches a toy rocket from a platform. the height of the rocket in feet is given by $h(t)=-16t^{2}+24t + 16$ where t represents the time in seconds after launch. what is the rockets initial height?

Explanation:

Step1: Identify initial time

Initial time is when $t = 0$.

Step2: Substitute $t = 0$ into function

Substitute $t=0$ into $h(t)=-16t^{2}+24t + 16$. So $h(0)=-16\times0^{2}+24\times0 + 16$.

Step3: Calculate result

$h(0)=0 + 0+16=16$.

Answer:

16