Crickets can jump with a vertical velocity of up to 14 ft/s. Which equation models the height of such a jump, in feet, after t seconds? h (t) = - 16t2 + v0t + h0

h (t) = - 16t2 + v0t + 14

h (t) = - 16t2 + 14t

h (t) = - 16t2 + 14t + 14

Acceleration is simplified by assuming it is the constant - g

a=-g we integrate this with respect to time to get v ...

v=-gt+C where C is the initial velocity in this case 14ft/s so

v=-gt+14 integrate again to get the height function

h = (-gt^2) / 2 + 14t + C we are not given an initial height so C is 0

h (t) = 14t-gt^2/2 letting g=32 and neatening up a bit ...

h (t) = 14t-16t^2

And time 0 h (t) = 0

so which one must t be?