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?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 69P
icon
Related questions
icon
Concept explainers
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?
Transcribed Image Text: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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Displacement, velocity and acceleration
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University