Answer:
v = 190 m/s
Explanation:
Given that,
Initial velocity of a car, u = 10 m/s
Distance, d = 500 m
Time, t = 5 s
We need to find the final velocity of the car. Firstly we can find the acceleration of the car using second equation of motion as follows :
[tex]d=ut+\dfrac{1}{2}at^2\\\\500=10\times 5+\dfrac{a}{2}\times 5^2\\\\500=50+\dfrac{25a}{2}\\\\450=\dfrac{25a}{2}\\\\a=\dfrac{450\times 2}{25}\\\\a=36\ m/s^2[/tex]
let v is the final velocity. using First equation of motion to find a as follows :
v=u+at
v=10+36(5)
v=190 m/s
So, the final velocity of the car is 190 m/s.
