Question

Jamie throws a ball into the air with an initial upward velocity of 68 feet per second from a height of 12 feet. Write a quadratic function to model the situation using h(t) to represent the ball's height in feet and t to represent its time in seconds.

Answer 1

`h(t)=68t+12`

Explanation:

let t= time in seconds, h=height in ft

height at
`t_0=12ft`=
`h_o`

Velocity,v=
`68m/s`

Height=
`velocity*time=vt`

`h_t=h_0+h_(t-0)`

Therefore height after
`t_n` is obtained by adding height gained to initial height.

`h(t)=68t+12`