Question

A toddler rolls off of his bed and hits the floor 0.53 meters below. If he lands 0.2 meters away from the base of the bed, how long did he fall for?

a) 0.338 seconds
b) 0.11 seconds
c) 2.60 seconds
d) 0.23 seconds

Answer 1

By using the equation of motion for an object under the influence of gravity, we find that the toddler's time of fall is approximately 0.328 seconds. The closest answer to this calculated value is (a) 0.338 seconds.

Step-by-step explanation:

The question involves calculating the time it took for a toddler to fall from a bed to the floor, a distance of 0.53 meters below. To find out how long the toddler fell for, we will use the formula derived from the equations of motion for an object under the influence of gravity (ignoring air resistance):

t = √(2h/g), where t is the time, h is the height, and g is the acceleration due to gravity (approximately 9.8 m/s² on Earth).

Plugging in the values:

t = √(2 * 0.53 m / 9.8 m/s²) = √(0.1076) ≈ 0.328 seconds

The answer that is closest to our calculated value and hence the correct answer is: (a) 0.338 seconds.