Directions: It is a Problem-Solving test, thus, you need to show your solutions in solving the problem. A man driving his car into a 20.0-foot garage with a velocity of 20.0 mi/h applies the brakes, producing a constant deceleration. Find a) the smallest deceleration necessary to avoid striking the back wall of the garage; and b) how many seconds it takes for the car to come to rest?

Directions: It is a Problem-Solving test, thus, you need to show your solutions in solving the problem. A man driving his car into a 20.0-foot garage with a velocity of 20.0 mi/h applies the brakes, producing a constant deceleration. Find a) the smallest deceleration necessary to avoid striking the back wall of the garage; and b) how many seconds it takes for the car to come to rest?

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 39P: A steam catapult launches a jet aircraft from the aircraft carrier John C. Stennis, giving it a...

See similar textbooks

Similar questions

If a drag racing motorcyclist has an initial speed of 10 m/s, and then he/she accelerates for 15 seconds at 15 m/s2, what is the velocity after 15 seconds? (do not include units in answer)
Suppose a car merges into freeway traffic on a 200-m-long ramp. If its initial velocity is 10.0 m/s and it accelerates at 2.00 m/s2, how long does it take to travel the 200 m up the ramp? (Such information might be useful to a traffic engineer.)
In 1967, New Zealander Burt Munro set the world recordfor an Indian motorcycle, on the Bonneville Salt Flats in Utah,with a maximum speed of 183.58 mi/h. The one-way coursewas 5.00 mi long. Acceleration rates are often described bythe time it takes to reach 60.0 mi/h from rest. If this time was4.00 s, and Burt accelerated at this rate until he reached hismaximum speed, how long did it take Burt to complete thecourse?
Suppose a car merges into freeway traffic on a 200 - m - long ramp. If its initial velocity is Om / s and it accelerates at 2.00 m / s2, how long does it take the car to travel the 200 m up
A car travels along a straight road with a constant speed of 10 kph. Once it reachesthe highway, it accelerates to 45 kph in 7 s, determine the acceleration of the car in m/s^2. Also determine the distance travelled by the car while accelerating.
A drag car starts from rest and moves down the racetrack with an acceleration defined by a= 50 - 10t, where a and t are in m/s2 and seconds, respectively. After reaching a speed of 125 m/s, a parachute is deployed to help slow down the dragster. Knowing that this deceleration is defined by the relationship a= - 0.02v2 , where v is the velocity in m/s, determine (a) the total time from the beginning of the race until the car slows back down to 10 m/s, (b) the total distance the car travels during this time.
While running a marathon, a long-distance runner uses a stopwatch to time herself over a distance of 100 m. She finds that she runs this distance in 18 s. Answer the following by considering ratios, without computing her velocity. a. If she maintains her speed, how much time will it take her to run the next 400 m?
Unreasonable Results A cyclist rides 16.0 km east, then 8.0 km west, then 8.0 km east, then 32.0 km west, and finally 11.2 km east. If his average velocity is 24 km/h, how long did it take him to complete the trip? Is this a reasonable time?
A motorcycle that is slowing down uniformly covers 2.0 successive km in 80 s and 120 s, respectively. Calculate (a) the acceleration of the motorcycle and (b) its velocity at the beginning and end of the 2-km trip.
Colonel John P. Stapp, USAF, participated in studying whether a jet pilot could survive emergency ejection. On March 19, 1954, he rode a rocket-propelled sled that moved down a track at a speed of 632 mi/h. He and the sled were safely brought to rest in 1.40 s (Fig. P2.41). Determine (a) the negative acceleration he experienced and (b) the distance he traveled during this negative acceleration.
A person lakes a trip, driving with a constant speed of 89.5 km/h, except, for a 22.0-min rest stop. If the persons average speed is 77.8 km/h, (a) how much time is spent on the trip and (b) how far does the person travel?
In World War II, there were several reported cases of airmen who jumped from their flaming airplanes with no parachute to escape certain death. Some fell about 20,000 feet (6000 m), and some of them survived, with few life-threatening injuries. For these lucky pilots, the tree branches and snow drifts on the ground allowed their deceleration to be relatively small. If we assume that a pilot's speed upon impact was 123 mph (54 m/s), then what was his deceleration? Assume that the trees and snow stopped him over a distance of 3.0 m.