The acceleration of the car in SI units is 2.68m/s².
The acceleration is 0.27 times the acceleration due to gravity g.
Convert the speed in mph into m/s.
1 mile = 1609 m and 1h = 3600 s.
Therefore,
[tex]v=(\frac{60 miles}{1 h} )(\frac{1609 m}{1 mile} )(\frac{1h}{3600s)} =26.82m/s[/tex]
Acceleration is the rate of change of velocity. The car starts from rest , its initial velocity u = 0 and accelerates to a velocity v of 26.82 m/s in 10 s.
Use these values in the equation and calculate the acceleration.
[tex]a=\frac{v-u}{t} \\ =\frac{(26.82 m/s)-(0m/s)}{10s} \\ =2.682 m/s^2[/tex]
Thus the car accelerates at a rate of 2.68 m/s².
The acceleration due to gravity g on Earth has a value 9.81 m/s².
Find the ratio[tex]\frac{a}{g}[/tex]
[tex]\frac{a}{g} =\frac{2.682m/s^2}{9.81m/s^2} \\ =0.27 a=0.27g[/tex]
The car's acceleration is 0.27 times the value of g.
