University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 2, Problem 2.67P
Passing. The driver of a car wishes to pass a truck that is traveling at a constant speed of 20.0 m/s (about 45 mi/h). Initially, the car is also traveling at 20.0 m/s, and its front bumper is 24.0 m behind the truck’s rear bumper. The car accelerates at a constant 0.600 m/s2, then pulls back into the truck’s lane when the rear of the car is 26.0 m ahead of the front of the truck. The car is 4.5 m long, and the truck is 21.0 m long, (a) How much time is required for the car to pass the truck? (b) What distance does the car travel during this time? (c) What is the final speed of the car?
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On a one lane road, a person driving a car at v1 = 58 mi/h suddenly notices a truck 1.1 mi in front of him. That truck is moving in the same direction at v2 = 35 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Δt. The smallest magnitude of acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction.
1. Use the expressions you entered in parts (c) and (f) and enter an expression for a in terms of d, v1, and v2.
a = ( v2 - v1 )/Δt
Δt = ( 2 ) ( d )/( v1 - v2 )
2. Calculate the value of a in meters per second squared.
On a one lane road, a person driving a car at v1 = 76 mi/h suddenly notices a truck d = 1.9 mi in front of him. That truck is moving in the same direction at v2 = 45 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Δt. The smallest acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. Refer to the figure below.
a)Enter an expression, in terms of defined quantities, for the distance, Δx2, traveled by the truck during the time interval Δt.
b)Enter an expression for the distance, Δx1, traveled by the car in terms of v1, v2 and a.
c)Enter an expression for the acceleration of the car, a, in terms of v1, v2, and Δt.
d)Enter an expression for Δx1 in terms of Δx2 and d when the driver just barely avoids collision.
e)Enter an expression for Δx1 in terms of v1, v2, and Δt.
f)Enter an expression for Δt in terms of d, v1, and v2.
g)…
Chapter 2 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 2.1 - Each of the following five trips takes one hour....Ch. 2.2 - TEST YOUR UNDERSTANDING OF SECTION 2.2 Figure 2.9...Ch. 2.3 - Look again at the x-t graph in Fig. 2.9 at the end...Ch. 2.4 - Four possible vx-t graphs are shown for the two...Ch. 2.5 - If you toss a ball upward with a certain initial...Ch. 2 - Does the speedometer of a car measure speed or...Ch. 2 - The black dots at the top of Fig. Q2.2 represent a...Ch. 2 - Can an object with constant acceleration reverse...Ch. 2 - Under what conditions is average velocity equal to...Ch. 2 - Is it possible for an object to be (a) slowing...
Ch. 2 - Under what conditions does the magnitude of the...Ch. 2 - When a Dodge Viper is at Elwoods Car Wash, a BMW...Ch. 2 - A driver in Massachusetts was sent to traffic...Ch. 2 - Can you have zero displacement and nonzero average...Ch. 2 - Can you have zero acceleration and nonzero...Ch. 2 - Can you have zero velocity and nonzero average...Ch. 2 - An automobile is traveling west. Can it have a...Ch. 2 - The officials truck in Fig. 2.2 is at x1 = 277 m...Ch. 2 - Under constant acceleration the average velocity...Ch. 2 - You throw a baseball straight up in the air so...Ch. 2 - Prove these statements: (a) As long as you can...Ch. 2 - A dripping water faucet steadily releases drops...Ch. 2 - If you know the initial position and initial...Ch. 2 - From the top of a tall building, you throw one...Ch. 2 - You run due cast at a constant speed of 3.00 m/s...Ch. 2 - An object is thrown straight up into the air and...Ch. 2 - When you drop an object from a certain height, it...Ch. 2 - A car travels in the +x-direction on a straight...Ch. 2 - In an experiment, a shearwater (a seabird) was...Ch. 2 - Trip Home. You normally drive on the freeway...Ch. 2 - From Pillar to Post. Starting from a pillar, you...Ch. 2 - Starting from the front door of a ranch house, you...Ch. 2 - A Honda Civic travels in a straight line along a...Ch. 2 - CALC A car is stopped at a traffic light. 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A lunar lander is making...Ch. 2 - A Simple Reaction-Time Test. A meter stick is held...Ch. 2 - A brick is dropped (zero initial speed) from the...Ch. 2 - Launch Failure. A 7500-kg rocket blasts off...Ch. 2 - A hot-air balloonist, rising vertically with a...Ch. 2 - BIO The rocket-driven sled Sonic Wind No. 2, used...Ch. 2 - An egg is thrown nearly vertically upward from a...Ch. 2 - A 15-kg rock is dropped from rest on the earth and...Ch. 2 - A large boulder is ejected vertically upward from...Ch. 2 - You throw a small rock straight up front the edge...Ch. 2 - CALC A small object moves along the x-axis with...Ch. 2 - CALC A rocket starts from rest and moves upward...Ch. 2 - CALC The acceleration of a bus is given by ax(t) =...Ch. 2 - CALC The acceleration of a motorcycle is given by...Ch. 2 - BIO Flying Leap of the Flea. High-speed motion...Ch. 2 - BIO A typical male sprinter can maintain his...Ch. 2 - CALC A lunar lander is descending toward the moons...Ch. 2 - Earthquake Analysis. Earthquakes produce several...Ch. 2 - A brick is dropped from the roof of a tall...Ch. 2 - A rocket carrying a satellite is accelerating...Ch. 2 - A subway train starts from rest at a station and...Ch. 2 - A gazelle is running in a straight line (the...Ch. 2 - Collision. The engineer of a passenger train...Ch. 2 - A ball starts from rest and rolls down a hill with...Ch. 2 - Two cars start 200 m apart and drive toward each...Ch. 2 - A car and a truck start from rest at the same...Ch. 2 - You are standing at rest at a bus stop. A bus...Ch. 2 - Passing. The driver of a car wishes to pass a...Ch. 2 - CALC An objects velocity is measured to be vx(t) =...Ch. 2 - CALC The acceleration of a particle is given by...Ch. 2 - Egg Drop. You are on the roof of the physics...Ch. 2 - A certain volcano on earth can eject rocks...Ch. 2 - An entertainer juggles balls while doing other...Ch. 2 - Look Out Below. Sam heaves a 16-lb shot straight...Ch. 2 - A flowerpot falls off a windowsill and passes the...Ch. 2 - Two stones are thrown vertically upward from the...Ch. 2 - A Multistage Rocket. In the first stage of a...Ch. 2 - During your summer internship for an aerospace...Ch. 2 - A physics teacher performing an outdoor...Ch. 2 - A helicopter carrying Dr. Evil takes off with a...Ch. 2 - Cliff Height. You are climbing in the High Sierra...Ch. 2 - CALC An object is moving along the x-axis. At t =...Ch. 2 - A ball is thrown straight up from the ground with...Ch. 2 - CALC Cars A and B travel in a straight line. The...Ch. 2 - DATA In your physics lab you release a small...Ch. 2 - DATA In a physics lab experiment, you release a...Ch. 2 - DATA A model car starts from rest and travels in a...Ch. 2 - In the vertical jump, an athlete starts from a...Ch. 2 - Catching the Bus. A student is running at her top...Ch. 2 - A ball is thrown straight up from the edge of the...Ch. 2 - BIO BLOOD FLOW IN THE HEART. The human circulatory...Ch. 2 - BIO BLOOD FLOW IN THE HEART. The human circulatory...Ch. 2 - BIO BLOOD FLOW IN THE HEART. The human circulatory...
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