Question

A catapult hurls a cantaloupe from a heightof 12 feet at an initial velocity of 47 feetper second.n(t) = -16 t2 + 47t +12

Answer 1

To find the equation we use:

`h(t)=-(1)/(2)gt^2+v_0t+h_0`

Where h is the gravity, v0 is the intial velocity and h0 is the initial height.

Then, we replace the values,

`\begin{gathered} g=32(ft)/(s^2);v_0=47(ft)/(s);h_0=12ft \\ h(t)=-(1)/(2)32t^2+47t+12 \\ h(t)=-16t^2+47t+12 \end{gathered}`