How to Calculate Acceleration from Given Data
What is the method to determine acceleration based on the given information?
How can we calculate the acceleration of a motorboat starting from rest and reaching a velocity of 75 miles per hour in 0.4 minutes?
Calculating Acceleration from Given Data
The formula to find acceleration is: (Final velocity - Initial velocity) / Time. Let's substitute the provided values into this formula to determine the acceleration in m/s².
To calculate the acceleration of the motorboat, we need to use the formula for acceleration, which is:
Acceleration = (Final velocity - Initial velocity) / Time
Given that the motorboat starts from rest, its initial velocity is 0. The boat then reaches a final velocity of 75 miles per hour, which is equivalent to 75 * 1609 meters per hour. The time taken for this change in velocity is 0.4 minutes, which can be converted to 0.4 * 60 seconds.
By substituting these values into the formula, we get:
Acceleration = (75 * 1609) / (0.4 * 60)
After simplifying this expression, we will obtain the acceleration of the motorboat in m/s². Remember to always verify the units of the values used in the calculation to ensure consistency.