Calculate Car Deceleration and Stopping Distance | Cars Slam on Brakes

In summary, Car 1 travels at 50km/hr and Car 2 travels at 100km/hr, with a distance of 45m between them. Car 1 decelerates at a rate of -12.05 m/s^2 and stops in 8m. Using the same deceleration, Car 2 stops in 32m. Therefore, the cars do not hit, with a final distance of 13m between them.
  • #1
Todd0012
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Homework Statement


Car 1 travels 50km/hr
Car 2 travels 100km/hr
The Cars are 45m apart
Car 1 slams on brakes and stops in 8m


a) Calculate deceleration of Car 1? (Car 1 has the same deceleration as Car 2)

b) Use deceleration to find the distance it took Car2 to stop?

c) Did the cars hit?



The attempt at a solution
Car 1 = 50 km/hr = 13.89 m/s
Car 2 = 100 km/hr = 27.78 m/s


a) Vf^2-Vi^2 = 2a(Delta x)
0 - 13.89^2 = 2a(8)
-192.932=16a
a= -12.05 m/s^2

b) 0-27.78^2=2(-12.05)x
-771.7=-24.1x
Distance it took Car2 to stop is = 32 m

c) 45-32= 13m apart



IS THIS RIGHT?
 
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  • #2
Yes it's right!
 

1. How do you calculate car deceleration?

Car deceleration can be calculated by dividing the change in velocity by the change in time. This can be represented by the formula: a = (vf - vi) / t, where a is the deceleration, vf is the final velocity, vi is the initial velocity, and t is the time taken for the car to decelerate.

2. What is the difference between deceleration and braking?

Deceleration is a change in velocity that can occur in any direction, while braking is a specific type of deceleration that occurs when a vehicle's brakes are applied. Braking is a controlled deceleration used to slow down or stop a vehicle.

3. How do you calculate stopping distance?

Stopping distance is the total distance a vehicle travels from the moment the brakes are applied until it comes to a complete stop. It can be calculated by adding the distance travelled during the reaction time (distance = initial velocity * reaction time) and the braking distance (distance = (initial velocity^2) / (2 * deceleration)).

4. What factors can affect the stopping distance of a car?

The stopping distance of a car can be affected by various factors such as the speed of the car, the condition of the brakes, the type and condition of the tires, the road surface and weather conditions, and the weight and load of the car.

5. Why is it important to calculate car deceleration and stopping distance?

Calculating car deceleration and stopping distance is important for understanding the potential risks and hazards of driving. It can also help drivers make informed decisions about their speed and braking distances to ensure their safety and the safety of others on the road.

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