College Physics, Volume 1
2nd Edition
ISBN: 9781133710271
Author: Giordano
Publisher: Cengage
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Chapter 4, Problem 25P
To determine
The vertical distance travelled by the baseball on the way to the catcher.
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The equation r(t) = ( sin t)i + ( cos t)j + (t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors.
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The velocity vector is v(t) = (i+j+ k.
A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 - 2.1t , where x and y are in meters and t is in seconds. Write a vector expression for the ball’s velocity as a function of time.
A projectile is shot perfectly horizontally with a speed of 7.02
m/s, and a height of 6.14 m. How far off the ground will it be
after 0.459 s?
Express your answer in meters to 3 significant figures. Use
g=9.81 m/s².
Chapter 4 Solutions
College Physics, Volume 1
Ch. 4.1 - Prob. 4.1CCCh. 4.2 - Prob. 4.2CCCh. 4.2 - Prob. 4.3CCCh. 4.4 - Prob. 4.4CCCh. 4.5 - Prob. 4.5CCCh. 4.5 - Prob. 4.6CCCh. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4Q
Ch. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10QCh. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 14QCh. 4 - Prob. 15QCh. 4 - Prob. 16QCh. 4 - Prob. 17QCh. 4 - Prob. 18QCh. 4 - Prob. 19QCh. 4 - Prob. 20QCh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Several forces act on a particle as shown in...Ch. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - The sled in Figure 4.2 is stuck in the snow. A...Ch. 4 - Prob. 7PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - A bullet is fired from a rifle with speed v0 at an...Ch. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - An airplane flies from Boston to San Francisco (a...Ch. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Two crates of mass m1 = 35 kg and m2 = 15 kg are...Ch. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Consider the motion of a bicycle with air drag...Ch. 4 - Prob. 63PCh. 4 - Prob. 64PCh. 4 - Prob. 65PCh. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Prob. 68PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Prob. 72PCh. 4 - Prob. 73PCh. 4 - Prob. 74PCh. 4 - A vintage sports car accelerates down a slope of ...Ch. 4 - Prob. 76PCh. 4 - Prob. 77PCh. 4 - Prob. 78PCh. 4 - Prob. 79PCh. 4 - Prob. 80PCh. 4 - Prob. 81PCh. 4 - Prob. 82PCh. 4 - Prob. 83PCh. 4 - Prob. 84PCh. 4 - Prob. 85PCh. 4 - Prob. 86PCh. 4 - Two blocks of mass m1 = 2.5 kg and m2 = 3.5 kg...Ch. 4 - Prob. 88PCh. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 91PCh. 4 - Prob. 92P
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- The horizontal distance traveled by a ball moving with initial velocity v0 is x = v0,xt where v0,x is the x-component of v0. A student measures a height of 1.27m for the gun when it is positioned horizontally. The time it will take for the ball to hit the ground when launched is 0.509s. The ball travels 1.5 meters horizontally before hitting the ground. Using the equation x = v0,xt calculate the launch velocity of the gun.arrow_forwardA helicopter is ascending vertically with a speed of 5.30 m/s. At a height of 107 m above the Earth, a package is dropped from the helicopter. How much time does it take for the package to reach the ground? [Hint: What is v0 for the package?] Express your answer to three significant figures and include the appropriate units. My Answer is that t= 4.163 but what unit is it? I tried s, m/s, min but none of them were correct. PLEASE HELP CONFIRM MY ANSWER and THE UNIT along with 4.163arrow_forwardI have no idea to how to start to this question: Wags (a dog) decides to go on a journey. He begins his journey by traveling 58 meters in a direction directly south. He then runs 100.0 meters in a direction 30◦north of west. During the last leg of his journey, he follows a scent for 59 meters in a direction 30◦east of north. What distance does Wags end up from his initial startingpoint?arrow_forward
- If you take a man to the top of a 20 m tall building and throw him off with a velocity of 5 m/s directed horizontally, what’s the magnitude of his velocity upon hitting the ground (in m/s)? answers include: 22.4 m/s 19.8 m/s 9.8 m/s 20.4 m/sarrow_forwardA space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 - 2.1t , where x and y are in meters and t is in seconds. write a vector expression for the ball's acceleration as a function of time.arrow_forwardA diver jumps off a cliff of height h at an angle θ = 260 (see figure). He reaches a maximum height of h subscript m a x end subscript= 20 m above the top of the cliff before falling to the water below. He hits the water x=295 m from the base of the cliff. Determine the height of the cliff, h. Take g=10m/s2 . Round your answer to one decimal place.arrow_forward
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- A jeep travels a distance d=22.1m in the positive x direction in a time t1=20.2s, at which point the jeep brakes, coming to rest in t2=7.38s. 1. What was the jeep's instantaneous velocity in the horizontal direction, in meters per second, when it began braking? 2. Using the result from question 1, what was the jeep's horizontal component of acceleration, in meters per squared second, during the braking period?arrow_forwardAn object is launched vertically in the air at 31.85 meters per second from a 4-meter-tall platform. Using the projectile motion model h(t)=−4.9t2+v0t+h0, where h(t) is the height of the projectile t seconds after its departure, v0 is the initial velocity in meters per second, and h0 is the initial height in meters, determine how long it will take for the object to reach its maximum height. What is the maximum height? The object will reach its maximum height in how manyseconds. what is the maximum height obtained by the ballarrow_forwardA projectile is shot with a speed of 15.3 m/s at an upward angle of 69.9° from the top of a cliff 22.5 m high. How long does it take the projectile to hit the ground? Express your answer in seconds to 3 significant figures. Use g=9.81 m/s2.arrow_forward
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