Question

A distance is calculated from the equation d gt2. g is exactly known to be 9.8014 m/s and t is measured to be 2.4 0.2 s. What is the distance and the uncertainty in the distance?

Answer 1

Step-by-step explanation:

The distance covered by an object is given by the following equation as :

`d=(1)/(2)gt^2`..............(1)

Where

g is the acceleration due to gravity

t is the time

The value of t is measured to be,
`t=(2.4\pm 0.2)\ s`

To find the distance covered, put the value of t = 2.4 s in equation (1).

`d=(1)/(2)* 9.8* (2.4)^2`

d = 28.224 meters

To find the uncertainty in the distance, put the value of t = 0.2 s in equation (1) as :

`d=(1)/(2)gt^2`

`d=(1)/(2)* 9.8* (0.2)^2`

d = 0.196 meters

Hence, this is the required solution.