Answer:
Step-by-step explanation:
To determine how far a car will travel when the brakes are applied, we can use the equation for distance traveled, which is:
d = vt
In this equation, d is the distance traveled, v is the initial velocity, and t is the time it takes for the car to come to a stop.
Since the initial velocity of the car is 15 m/s and we want to find the time it takes for the car to come to a stop, we can rearrange the equation to solve for t:
t = d/v
To find the time it takes for the car to come to a stop, we need to know the distance it will travel. To find the distance the car will travel, we can use the equation for the force of braking, which is:
F = ma
In this equation, F is the force of braking, m is the mass of the car, and a is the acceleration. Since we know the mass of the car (1100 kg) and the force of the brakes (6000 N), we can rearrange the equation to solve for a:
a = F/m = 6000 N / 1100 kg = 5.4545 m/s^2
We can now plug this value for acceleration into the equation for distance traveled to find the distance the car will travel:
d = vt = (15 m/s)(t) = (15 m/s)(t)