Answer:
0.90m/s²
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 = [tex]\frac{Final speed - Initial speed}{Time}[/tex]
We need to convert miles/hr to meters/seconds
Initial speed = 6 x [tex]\frac{miles }{hour}[/tex] x [tex]\frac{1hr}{3600s}[/tex] x [tex]\frac{1609.34m}{1mile}[/tex]
= 2.68m/s
Final speed = 12 x [tex]\frac{1609.34}{3600}[/tex] = 5.37m/s
Acceleration = [tex]\frac{5.37 - 2.68}{3}[/tex] = 0.90m/s²