A Penny Dropped from a 700 ft High Bridge

Motion Under Gravity

A penny is dropped from a 700 ft high bridge. How long does it take for the penny to reach the ground below?

What is the velocity of the penny upon impact?

1. The time it will take the penny to reach the ground is 11.95s

2. the velocity of the penny is 117.1 ms⁻¹

Motion under gravity refers to the movement of objects influenced solely by Earth's gravitational force.

Near the surface, all objects experience a constant acceleration, denoted as 9.8m/s², downward.

This acceleration causes freely falling objects to accelerate uniformly, demonstrating motion under gravity.

1. H = ½gt²

700 = ½ × 9.8 × t²

t² = 142.86

t = √142.86

t = 11.95sec

2. The velocity of the penny upon the impact is

v = u + gt

u = 0

v = 9.8 × 11.95

v = 117.1 ms⁻¹