Force=ma= mass*(Vf-Vi)/time
time= mass*(Vf-Vi)/force
vf=0
solve for time.
time= mass*(Vf-Vi)/force
vf=0
solve for time.
First, let's calculate the acceleration of the car. We can use the following formula:
Net force = mass x acceleration
Rearranging the formula to solve for acceleration:
Acceleration = Net force / mass
Substituting the given values:
Acceleration = 8347 N / 921 kg
Acceleration = 9.06 m/s²
Now, we can use the kinematic equation to determine the time it takes for the car to come to a stop. The equation we'll use is:
vf = vi + at
Where:
vf = final velocity (0 m/s, as the car comes to a stop)
vi = initial velocity (29.0 m/s)
a = acceleration (9.06 m/s²)
t = time
Rearranging this equation to solve for time:
t = (vf - vi) / a
Substituting the values:
t = (0 m/s - 29.0 m/s) / 9.06 m/s²
t = -29.0 m/s / 9.06 m/s²
t ≈ -3.2 s
Note: The negative sign indicates that the car is decelerating or slowing down. In this context, we're only interested in the magnitude of time, so we take the absolute value of the result.
Therefore, it takes approximately 3.2 seconds for the car to come to a stop.