A child on a beach tosses a walnut straight upward. it reaches the peak of its trajectory and then falls straight downward retracing its path when a hungry seagull grabs the walnut 10.1m above the release point at a time of 1.6s after it was thrown.

Question

find the initial velocity of the walnut. find the time to the peak. Find the distance to the peak from the release point.

Answer 1

h(t)=ho+vi*t-1/2 g t^2

ho=0
h(t)=10.1, time=1.6
solve for Vi

distance to peak
1/2 mv^2=mgh
solve for h