The car travels at a speed of 25m/s.
Explanation:
Given-
Mass, m = 1500kg
Coefficient of friction, μk = 0.47
Distance, x = 68m
Speed, s = ?
We know,
[tex]Force, F = ma[/tex]
and
F = μ X m X g
Therefore,
μ * m * g = m * a
μ * g = a
Let, g = 9.8m/s²
So,
[tex]a = 0.47 * 9.8 m/s^2[/tex]
[tex]a = 4.606m/s^2[/tex]
We know,
[tex]v^2 - u^2 = 2as[/tex]
where, v is the final velocity
u is the initial velocity
a is the acceleration
s is the distance
If the car comes to rest, the final velocity, v becomes 0.
So,
[tex]u^2 = 2 * 4.606 * 68\\\\u^2 = 626.416m/s\\\\u = 25m/s[/tex]
The car travels at a speed of 25m/s.
