Question

Calculate the acceleration of a bus full speed changes from 6 miles to 12 miles over a period of three seconds

Answer 1

0.90m/s²

Step-by-step explanation:

Given parameters:

Initial speed = 6miles/hr

Final speed = 12miles/hr

Time taken = 3 seconds

Unknown:

Acceleration = ?

Solution:

Acceleration is the rate of change of velocity with time. It is mathematically given as:

Acceleration =
`(Final speed - Initial speed)/(Time)`

We need to convert miles/hr to meters/seconds

Initial speed = 6 x
`(miles )/(hour)` x
`(1hr)/(3600s)` x
`(1609.34m)/(1mile)`

= 2.68m/s

Final speed = 12 x
`(1609.34)/(3600)` = 5.37m/s

Acceleration =
`(5.37 - 2.68)/(3)` = 0.90m/s²