Answer:
Final speed, v = 28.81 m/s
Explanation:
Given that,
Mass of the car, m = 1423 kg
Initial speed of the car, u = 26.4 m/s
Force experience by the car, F = 901 N
Distance, d = 106 m
To find,
The speed of the car after traveling this distance.
Solution,
The force experienced by a car is equal to the product of mass and acceleration.
[tex]F=ma[/tex]
[tex]a=\dfrac{F}{m}[/tex]
[tex]a=\dfrac{901}{1423}[/tex]
[tex]a=0.63\ m/s^2[/tex]
Let v is the final speed of the car. Using third equation of motion to find it as :
[tex]v^2-u^2=2ad[/tex]
[tex]v^2=2ad+u^2[/tex]
[tex]v^2=2\times 0.63\times 106+(26.4)^2[/tex]
v = 28.81 m/s
So, the final speed of the car is 28.81 m/s.
