Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 2, Problem 82CP
(a)
To determine
The time interval at which the bicycle is ahead of the car.
(b)
To determine
The maximum distance the bicycle will lead the car.
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Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
Phys 25
Chapter 2 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 2.1 - Under which of the following conditions is the...Ch. 2.2 - Are officers in the highway patrol more interested...Ch. 2.4 - Make a velocitytime graph for the car in Figure...Ch. 2.4 - If a car is traveling eastward and slowing down,...Ch. 2.5 - Which one of the following statements is true? (a)...Ch. 2.6 - In Figure 2.12, match each vxt graph on the top...Ch. 2.7 - Consider the following choices: (a) increases, (b)...Ch. 2 - Prob. 1OQCh. 2 - A racing car starts from rest at t = 0 and reaches...Ch. 2 - Prob. 3OQ
Ch. 2 - When applying the equations of kinematics for an...Ch. 2 - Prob. 5OQCh. 2 - Prob. 6OQCh. 2 - When the pilot reverses the propeller in a boat...Ch. 2 - Prob. 8OQCh. 2 - A skateboarder starts from rest and moves down a...Ch. 2 - Prob. 10OQCh. 2 - Prob. 11OQCh. 2 - A pebble is dropped from rest from the top of a...Ch. 2 - A student at the top of a building of height h...Ch. 2 - You drop a ball from a window located on an upper...Ch. 2 - A pebble is released from rest at a certain height...Ch. 2 - A ball is thrown straight up in the air. For which...Ch. 2 - Prob. 17OQCh. 2 - Each of the strobe photographs (a), (b), and (c)...Ch. 2 - If the average velocity of an object is zero in...Ch. 2 - Prob. 2CQCh. 2 - If a car is traveling eastward, can its...Ch. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - You throw a ball vertically upward so that it...Ch. 2 - (a) Can the equations of kinematics (Eqs....Ch. 2 - (a) Can the velocity of an object at an instant of...Ch. 2 - Two cars are moving in the same direction in...Ch. 2 - Position, Velocity, and Speed The position versus...Ch. 2 - The speed of a nerve impulse in the human body is...Ch. 2 - A person walks first at a constant speed of 5.00...Ch. 2 - A particle moves according to the equation x =...Ch. 2 - The position of a pinewood derby car was observed...Ch. 2 - Prob. 6PCh. 2 - A positiontime graph for a particle moving along...Ch. 2 - An athlete leaves one end of a pool of length L at...Ch. 2 - Find the instantaneous velocity of the particle...Ch. 2 - Prob. 10PCh. 2 - Prob. 11PCh. 2 - A car travels along a straight line at a constant...Ch. 2 - A person takes a trip, driving with a constant...Ch. 2 - Prob. 14PCh. 2 - Prob. 15PCh. 2 - A child rolls a marble on a bent track that is 100...Ch. 2 - Figure P2.9 shows a graph of vx versus t for the...Ch. 2 - (a) Use the data in Problem 3 to construct a...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - An object moves along the x axis according to the...Ch. 2 - Prob. 21PCh. 2 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Each of the strobe photographs (a), (b), and (c)...Ch. 2 - Prob. 24PCh. 2 - An electron in a cathode-ray tube accelerates...Ch. 2 - Prob. 26PCh. 2 - A parcel of air moving in a straight tube with a...Ch. 2 - A truck covers 40.0 m in 8.50 s while smoothly...Ch. 2 - An object moving with uniform acceleration has a...Ch. 2 - In Example 2.7, we investigated a jet landing on...Ch. 2 - Prob. 31PCh. 2 - Solve Example 2.8 by a graphical method. On the...Ch. 2 - Prob. 33PCh. 2 - Why is the following situation impossible?...Ch. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - A glider of length moves through a stationary...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - Prob. 41PCh. 2 - At t = 0, one toy car is set rolling on a straight...Ch. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - An attacker at the base of a castle wall 3.65 m...Ch. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - The height of a helicopter above the ground is...Ch. 2 - Prob. 51PCh. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - At time t = 0, a student throws a set of keys...Ch. 2 - Prob. 55PCh. 2 - Prob. 56PCh. 2 - Prob. 57PCh. 2 - A student drives a moped along a straight road as...Ch. 2 - The speed of a bullet as it travels down the...Ch. 2 - Prob. 60APCh. 2 - The froghopper Philaenus spumarius is supposedly...Ch. 2 - Prob. 62APCh. 2 - Prob. 63APCh. 2 - In Figure 2.11b, the area under the velocitytime...Ch. 2 - Prob. 65APCh. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - An elevator moves downward in a tall building at a...Ch. 2 - Prob. 68APCh. 2 - Prob. 69APCh. 2 - Prob. 70APCh. 2 - At t = 0, one athlete in a race running on a long,...Ch. 2 - Prob. 72APCh. 2 - Prob. 73APCh. 2 - Prob. 74APCh. 2 - Two objects, A and B, are connected by hinges to a...Ch. 2 - Prob. 76APCh. 2 - Prob. 77APCh. 2 - Prob. 78APCh. 2 - Prob. 79APCh. 2 - Prob. 80APCh. 2 - Prob. 81CPCh. 2 - Prob. 82CPCh. 2 - In a womens 100-m race, accelerating uniformly,...Ch. 2 - Two thin rods are fastened to the inside of a...Ch. 2 - Prob. 85CP
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