Question

A bolt falls off an airplane at an altitude of 500m how long will it take the bolt to reach the ground

Answer 1

About 10.102 seconds

Explanation:

Using the kinetics formula:

`x = v_it + (1)/(2)at^2`

Substitute known values:

`500=0t+(1)/(2)(9.8)t^2`

Solve for t:

`1000=9.8t^2\\(1000)/(9.8)=t^2\\\sqrt{(1000)/(9.8)} =t\\10.102 \approx t`

Answer 2

10.1 s

Explanation:

Using equation of linear motion

h = ut + 1/2gt² where u = initial velocity = 0, the height from which the object is dropped = 500 m, g, acceleration due to gravity = 9.81m/s² and t is time in seconds

substitute the values into the equation

500 = 0t + 1/2gt²

500 × 2 = 9.81t²

1000 / 9.81 = t²

101.94 = t²

take square root of both side

√101.94 = t

t = 10.1 s