Question

When jumping, a flea reaches a takeoff speed of 1.5over a distance of 0.45. A.) What is the flea's acceleration during the jump phase. B.) How long does the acceleration phase last?

Answer 1

During the jump phase the flea has no horizontal acceleration (ignoring air resistance). The only acceleration during the jump phase is 9.81 m/s^2 down.

v = a t
1.5 = a t so t = 1.5/a

d = a t^2
.45 = a t^2
.45 = a (2.25/a^2)
.45 a = 2.25
a = 5

Answer 2

A sailboat starts from rest and accelerates at a rate of 0.19 m/s2 over a distance of 384 m. Find the magnitude of the boat's final velocity.