1. A rocket is traveling through space at velocity v, at distance d from it's home planet. It firesits trusters and has an accleration a taking it directly futher away from home.(a) How long does the rocket take to double its velocity?(b) How far will the rocket be from the planet once its velocity has doubled?(c) What is the average velocity of the rocket over the time it takes the velocity to double?2. A car is dropped from a crane from a height h. It accelerates downward due to gravity. Assumethere is no air resistance.(a) How long does the car take to hit the ground?(b) What will the instantaneous velocity of the car be when it hits the ground?(c) What is the average velocity of the car over the course of the fall?3. A plane is traveling horizontally at velocity v at an altitude of h. The pilot opens the windowand tries to take a selfie, but drops their phone.(a) How long does it take phone to fall and hit the ground?(b) How far from the point at which the pilot dropped the phone will the phone land?4. The Virgin Galactic VSS Unity is a rocket powered space plane that is launched from a moth-ership called the VMS Eve. The mothership lifts the spacecraft to an altitude of h, where itis moving at a velocity v. The Unity then releases from the mothership and fires its rocketengines, causing a thrust of force F at an angle 0 relative to it's motion when it was released.The Unity has a mass m. The rocket engine fires for time T.(a) Draw a free body diagram for the forces acting on the rocket when the engine is firing.(b) What is the velocity of the rocket at the moment that the engine quits firing?5. The Virgin Galactic VSS Unity is a rocket powered space plane. After Unity is launched andits rocket engine has exhausted all fuel, Unity is at height h and has a velocity v in directionrelative to horizontal.(a) What is the maximum height that Unity will reach?(b) How long will Unity be in flight after its engine cuts out?(c) How far will Unity be from where it was when its engine cut out?

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1. A rocket is traveling through space at velocity v, at distance d from it's home planet. It fires its trusters and has an accleration a taking it directly futher away from home. (a) How long does the rocket take to double its velocity? (b) How far will the rocket be from the planet once its velocity has doubled? (c) What is the average velocity of the rocket over the time it takes the velocity to double?

1. A rocket is traveling through space at velocity v, at distance d from it's home planet. It fires its trusters and has an accleration a taking it directly futher away from home. (a) How long does the rocket take to double its velocity? (b) How far will the rocket be from the planet once its velocity has doubled? (c) What is the average velocity of the rocket over the time it takes the velocity to double?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

Topic Video

Question

1. A rocket is traveling through space at velocity v, at distance d from it's home planet. It fires
its trusters and has an accleration a taking it directly futher away from home.
(a) How long does the rocket take to double its velocity?
(b) How far will the rocket be from the planet once its velocity has doubled?
(c) What is the average velocity of the rocket over the time it takes the velocity to double?
2. A car is dropped from a crane from a height h. It accelerates downward due to gravity. Assume
there is no air resistance.
(a) How long does the car take to hit the ground?
(b) What will the instantaneous velocity of the car be when it hits the ground?
(c) What is the average velocity of the car over the course of the fall?
3. A plane is traveling horizontally at velocity v at an altitude of h. The pilot opens the window
and tries to take a selfie, but drops their phone.
(a) How long does it take phone to fall and hit the ground?
(b) How far from the point at which the pilot dropped the phone will the phone land?
4. The Virgin Galactic VSS Unity is a rocket powered space plane that is launched from a moth-
ership called the VMS Eve. The mothership lifts the spacecraft to an altitude of h, where it
is moving at a velocity v. The Unity then releases from the mothership and fires its rocket
engines, causing a thrust of force F at an angle 0 relative to it's motion when it was released.
The Unity has a mass m. The rocket engine fires for time T.
(a) Draw a free body diagram for the forces acting on the rocket when the engine is firing.
(b) What is the velocity of the rocket at the moment that the engine quits firing?
5. The Virgin Galactic VSS Unity is a rocket powered space plane. After Unity is launched and
its rocket engine has exhausted all fuel, Unity is at height h and has a velocity v in direction
relative to horizontal.
(a) What is the maximum height that Unity will reach?
(b) How long will Unity be in flight after its engine cuts out?
(c) How far will Unity be from where it was when its engine cut out?

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