A race car accelerates on a straight track from 0 to 100 km/h in 6 seconds. Another race car accelerates from 0 to 100 km/h in 5 s. the velocities and accelerations of the cars during their races would be 27.77 m/s, 27.77 m/s a₁=4.629 m/s² a₂=5.554 m/s² respectively
What is acceleration?
The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².
As given a race car accelerates on a straight track from 0 to 100 km/h in 6 seconds. Another race car accelerates from 0 to 100 km/h in 5 s.
By using newton's first equation of the motion for the first car
v= u +at
as the car starts from the rest u =0
v₁= 100 km/h and t= 6 seconds
v₁ = 100 ×1000/3600 m/s
v₁ = 27.77 m/s
By substituting the values in the equation
v₁= 0 + a×6
27.77 m/s = 6a
a₁ = 27.77/6
a₁=4.629 m/s²
Similarly By using newton's second equation of the motion for the second race car
v= u +at
as the car starts from the rest u =0
v₂= 100 km/h and t= 5 seconds
v₂ = 100 ×1000/3600 m/s
v₂ = 27.77 m/s
By substituting the values in the equation
v₂= 0 + a×5
27.77 m/s = 5a
a₂= 27.77/5
a₂=5.554 m/s²
Thus, the velocities and accelerations of the cars during their races would be 27.77 m/s, 27.77 m/s a₁=4.629 m/s² a₂=5.554 m/s² respectively
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