Question

Bob the Builder is making a delivery of wood in his work truck. He is traveling at the velocity of 12 mi/hour at the top of the hill. Nine seconds later he reaches the bottom of the hill and is moving north at 25 mi/hour. What is the acceleration?

Answer 1

Acceleration, a = 0.65m/s² due North.

Step-by-step explanation:

Given the following data;

Initial velocity = 12mi/hr

Final velocity = 25mi/hr

Time = 9 secs

To find the acceleration;

First of all, we would convert miles per hour to meters per seconds.

`Initial \; velocity = \frac {12 * 1609.344}{60*60} = \frac {19312.128}{3600} = 5.37m/s`

`Final \; velocity = \frac {25 * 1609.344}{60*60} = \frac {40233.6}{3600} = 11.18m/s`

Now to find the acceleration;

Mathematically, acceleration is given by the equation;

`Acceleration (a) = (final \; velocity - initial \; velocity)/(time)`

Substituting into the equation, we have;

`a = (11.18 - 5.37)/(9)`

`a = (5.81)/(9)`

Acceleration, a = 0.65m/s² due North.