(a) The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows uniformly with acceleration of -5.00 m/s² for 4.15 s, making straight skid marks 62.7 m long, all the way to the tree. With what speed (in m/s) does the car then strike the tree? 4.73 ✓ m/s (b) What If? If the car has the same initial velocity, and if the driver slams on the brakes at the same distance from the tree, then what would the acceleration need to be (in m/s2) so that the car narrowly avoids a collision? m/s2

(a) The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows uniformly with acceleration of -5.00 m/s² for 4.15 s, making straight skid marks 62.7 m long, all the way to the tree. With what speed (in m/s) does the car then strike the tree? 4.73 ✓ m/s (b) What If? If the car has the same initial velocity, and if the driver slams on the brakes at the same distance from the tree, then what would the acceleration need to be (in m/s2) so that the car narrowly avoids a collision? m/s2

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 23P: The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows...

See similar textbooks

Similar questions

If a car were to start at rest and move along a straight road at a constant acceleration reaching a speed of 14 ms-1 in 4 s, the what would be the magnitude of the constant acceleration of the car? And how fast will the car be travelling if it maintains this acceleration over a distance of 140 m from its starting point?
a rocket initially at rest, is fired vertically with an upward acceleration of 10ms/s. at an altitude of 0.5km, the engine of the rocket cuts off. what is the maximum altitude reached by the rocket ?
During a braking test, a car is brought to rest beginning from an initial speed of 54 mi/hr in a distance of 134 ft. With the same constant deceleration, what would be the stopping distance s from an initial speed of 75 mi/hr?
An experimental rocket car starting from rest reaches a speed of 560 km/h after a straight 400-m run on a level salt flat. Assuming that acceleration is constant, (a) what was the time of the run, and (b) what is the magnitude of the acceleration?
A typical jetliner lands at a speed of 160 mi/h and decelerates at the rate of (10.0 mi/h)/s. If the plane travels at a constant speed of 160 mi/h for 1.00 s after landing before applying the brakes, what is the total displacement of the aircraft between touchdown on the runway and coming to rest?
A baseball is pitched, reaching the batter with a speed of 37 m/s, and is hit such that it returns on the same line at 48 m/s. If the ball was in contact with the bat for .22 seconds, what was the magnitude of the average acceleration experienced by the ball during the time of contact?
A horizontal projectile is shot with an initial velocity of 21 m/s from a height of 6.3 m above the ground. Neglecting air-resistance, how long it will take to reach the landing point (time in the air measured in seconds)?
An ant crawls in a straight line at a constant speed of 0.24 m/s for a distance of 3.0 m, beginning in the corner of a square classroom. It then turns exactly 90 degrees to the right, and proceeds an additional 4.0 m with a constant speed of 0.44 m/s, reaching the other corner of the same wall from which it began. What was the ant’s average speed for the full trip from corner to corner?
A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a 32 degree ramp at a speed of 40m/s (144km/hr). How many buses can he clear if the top of the takeoff ramp is at the same height as the bus tops and the buses are each 20m long?
If a projectile is fired straight up at a speed of 30 m/s, the total time to return to its starting point is about
A Chinook (King) salmon (Genus Oncorynchus) can jump out of water with a speed of 5.55 m/s. If the salmon is in a stream with water speed equal to 1.65 m/s, how high in the air can the fish jump if it leaves the water traveling vertically upwards relative to the Earth?
If a human jumping can be treated as a projectile, what is the maximum range obtainable by a person if he has a take-off speed of 9.55 m/s? Assume negligible air resistance and the person begins and ends their jump at ground height.