Question

A car traveling at 17.2 m/s skids to a stop in 188 m from the point...

A car traveling at 17.2 m/s skids to a stop in 188 m from the point where the brakes were applied.

In what distance would the car have stopped had it been going 58.5 m/s , if tires and road condition were unchanged (i.e. if the acceleration were the same)?

Homework Answers

Answer #1

Initial speed of the car = V1 = 17.2 m/s

Final speed of the car = V2 = 0 m/s (Comes to a stop)

Distance the car travels before stopping = D1 = 188 m

Acceleration of the car = a

V22 = V12 + 2aD1

(0)2 = (17.2)2 + 2a(188)

a = -0.7868 m/s2

New initial speed of the car = V3 = 58.5 m/s

New final speed of the car = V4 = 0 m/s

New distance the car travels before stopping = D2

All the conditions are same therefore the acceleration of the car is the same.

V42 = V32 + 2aD2

(0)2 = (58.5)2 + 2(-0.7868)D2

D2 = 2175 m

Stopping distance of the car if it is going at a speed of 58.5 m/s = 2175 m/s

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A car traveling at 18.0 m/sm/s skids to a stop in 28.5 mm from the point...
A car traveling at 18.0 m/sm/s skids to a stop in 28.5 mm from the point where the brakes were applied. In what distance would the car have stopped had it been going 59.4 m/sm/s , if tires and road condition were unchanged (i.e. if the acceleration were the same)?
A certain car traveling at 34.0 mph skids to a stop in 29 meters from the...
A certain car traveling at 34.0 mph skids to a stop in 29 meters from the point where the brakes were applied. In approximately what distance would the car have stopped had it been going 105.4 mph?
A car, 1110 kg, is traveling down a horizontal road at 20.0 m/s when it locks...
A car, 1110 kg, is traveling down a horizontal road at 20.0 m/s when it locks up its brakes. The coefficient of friction between the tires and road is 0.901. How much distance will it take to bring the car to a stop? ​
A car is traveling at 15 m/s on a horizontal road. The brakes are applied and...
A car is traveling at 15 m/s on a horizontal road. The brakes are applied and the car skids to a stop in 4.0 s. The coefficient of kinetic friction between the tires and road is: Select one: a. 0.38 b. 0.69 A ball is thrown straight up with a speed of 36.0 m/s. How long does it take to return to its starting point? Select one: a. 7.20 s b. 10.2 s c. 14.7 s d. 11.0 s e....
Traveling at 40.2 m/s, a driver applies the brakes to his fast-moving car and skids out...
Traveling at 40.2 m/s, a driver applies the brakes to his fast-moving car and skids out of control on a wet concrete horizontal road. The 2000 kg car is headed directly toward a student waiting to catch a bus to campus who is standing 58.0 m down the road. Luckily, Superman is flying overhead and surveys the situation. Knowing that the coefficient of kinetic friction between rubber and rough wet concrete is .800, he determines that friction alone will not...
A driver on Route 15 is traveling at 50 mph (~22 m/s) when they see a...
A driver on Route 15 is traveling at 50 mph (~22 m/s) when they see a dog in the road ahead. The driver’s reaction time to apply the brakes is 1.5 s. As the driver nears the dog they honk the horn and thankfully the dog runs to safety on the side of the road. The car finally comes to a stop 5 s after applying the brakes and 4 m past where the dog had been standing. How far...
A car initially traveling at 29.2 m/s undergoes a constant negative acceleration of magnitude 2.00 m/s2...
A car initially traveling at 29.2 m/s undergoes a constant negative acceleration of magnitude 2.00 m/s2 after its brakes are applied (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.300 m? (b) What is the angular speed of the wheels when the car has traveled half the total distance? rad/s
A car initially traveling at 25.7 m/s undergoes a constant negative acceleration of magnitude 1.80 m/s2...
A car initially traveling at 25.7 m/s undergoes a constant negative acceleration of magnitude 1.80 m/s2 after its brakes are applied. (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.320 m? rev (b) What is the angular speed of the wheels when the car has traveled half the total distance? rad/s
A car initially traveling at 25.7 m/s undergoes a constant negative acceleration of magnitude 1.50 m/s2...
A car initially traveling at 25.7 m/s undergoes a constant negative acceleration of magnitude 1.50 m/s2 after its brakes are applied. (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.350 m? (b) What is the angular speed of the wheels when the car has traveled half the total distance?
A driver on Route 15 is traveling at 50 mph (~22 m/s) when they see a...
A driver on Route 15 is traveling at 50 mph (~22 m/s) when they see a dog in the road ahead. The driver’s reaction time to apply the brakes is 1.5 s. As the driver nears the dog they honk the horn and thankfully the dog runs to safety on the side of the road. The car finally comes to a stop 5 s after applying the brakes and 4 m past where the dog had been standing. How far...