MHB Initial vertical velocity (vertical motion)

[averyjedwards2]

hi there! i can't quite recall the formula for vertical velocity and who to easily factor the polynomials. Help anyone?
here's my example problem:
A cricket jumps off the ground with an initial vertical velocity of 4 ft per second.
A. write an equation that gives the height (in feet) of the cricket as a function of the time (in seconds) since it jumps.
B. after how many seconds does the cricket land on the ground?

thank you! i don't want you to necessarily solve this for me, i just need a little bit of a prompt with how to solve this! thanks so much!

 

[Ackbach]

So you can use $y=y_0+v_{0y}t-16t^2$, where $y_0$ is the initial height, and $v_{0y}$ is the initial velocity in the $y$ direction. Can you proceed from here?