Question

A child blows a leaf from rest straight up in the air. The leaf has a constant upward acceleration of magnitude 1.0\,\dfrac{\text m}{\text s^2}1.0 s 2 m ​ 1, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction. How much time does it take the leaf to displace 1.0\,\text m1.0m1, point, 0, start text, m, end text upwards?

Answer 1

Step-by-step explanation:

Given

Acceleration a = 1.0m/s²

Displacement S = 1.0m

Required

Time t taken by the leaf to displace

Using the equation of motion

S = ut+1/2at²

Substitute

1.0 = 0+1/2(1)t²

1 = t²/2

Cross multiply

t² = 2

t = ±√2

t = 1.41secs

It takes the leaf to 1.41s to displace by 1m upward