Concept explainers
A package is dropped from a helicopter that is descending steadily at a speed vn. After t seconds have elapsed, (a) what is the speed of the package in terms of vn, g, and t? (b) What distance d is it from the helicopter in terms of g and t? (c) What are the answers to parts (a) and (b) if the helicopter is rising steadily at the same speed?
(a)
Answer to Problem 52P
Explanation of Solution
Given Info: The initial velocity of the package is
Explanation:
The time starts when the package leaves the helicopter. The initial velocity of the helicopter and the package is same.
The formula used to calculate final velocity of the package is,
Here,
Substitute
Speed of the package is,
Thus, the speed of the package is given by the formula
Conclusion:
The speed of the package is given by the formula
(b)
Answer to Problem 52P
Explanation of Solution
Given Info: The initial velocity of the helicopter is
Explanation:
The formula used to calculate the displacement of the package is,
Here,
Substitute
Thus, the displacement of the package is given by the equation
The formula used to calculate the displacement of the helicopter is,
Here,
Substitute
Thus, the displacement of the helicopter is given by the equation
The formula used to calculate the distance separating the package and the helicopter is,
Here,
Substitute
Thus, the distance separating the package and the helicopter is given by the formula
Conclusion:
The distance separating the package and the helicopter is given by the formula
(c)
Answer to Problem 52P
Explanation of Solution
Given Info: The initial velocity of the package is
Explanation:
The formula used to calculate final velocity of the package is,
Substitute
Speed of the package is,
Thus, the speed of the package is given by the formula
The formula used to calculate the displacement of the package is,
Here
Substitute
Thus, the displacement of the package is given by the equation
The formula used to calculate the displacement of the helicopter is,
Here,
Substitute
Thus, the displacement of the helicopter is given by the equation
The formula used to calculate the distance separating the package and the helicopter is,
Here,
Substitute
Thus, the distance separating the package and the helicopter is given by the formula
Conclusion:
Answers to parts (a) and (b) if the helicopter is rising steadily at the same speed are
Want to see more full solutions like this?
Chapter 2 Solutions
COLLEGE PHYSICS,V.1-W/ENH.WEBASSIGN
Additional Science Textbook Solutions
Introduction to Electrodynamics
Physics of Everyday Phenomena
Fundamentals of Physics Extended
The Physics of Everyday Phenomena
Physics: Principles with Applications
The Physical Universe
- A projectile is launched on the Earth with a certain initial velocity and moves without air resistance. Another projectile is launched with the same initial velocity on the Moon, where the acceleration due to gravity is one-sixth as large. How does the range of the projectile on the Moon compare with that of the projectile on the Earth? (a) It is one-sixth as large. (b) It is the same. (c) It is 6 times larger. (d) It is 6 times larger. (e) It is 36 times larger.arrow_forwardA car moves on a straight road such that its position from a reference point is given by the following function:{ x(t) = 3 + 5t + 2t2 + 0.4t3, y(t) = 0, z(t) = 0 }where t is in seconds and x in meters. Find the average velocity, in meters per second, in the x-direction between t1 = 0.25 s and t2 = 1.85 s. Find the average acceleration, in meters per second squared, in the x-direction between t1 = 0.25 s and t2 = 1.85 s.arrow_forwardAn unidentified flying object (UFO) is observed to travel a total distance of 19000 m, starting and ending at rest, over a duration of 4.23 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2.arrow_forward
- A rubber ball is thrown horizontally from the window by a toddler with an initial velocity of 5 m/s. If the window is 4 m high, how long does it vtake for the ball to reach the pavement below? Choose the answer: a. 0.8163 squared second b. 0.9035 second c. 0.8163 second d. 0.9035 squared secondarrow_forwardSuppose that on earth you can throw a ball vertically upward a distance of 1.05 m. Given that the acceleration of gravity on the Moon is 1.67 m/s2, how high could you throw a ball on the Moon? (Take the y-axis in the vertical direction, and assume that the location of your hand is at y = 0.)arrow_forwardA person in a rowboat is 3 km from a point P on a straight shore while his destination is 5m directly east of point P. If he is able to row 4 km per hour and walk 5 km per hour, how far from his destination must he land on the shore in order to reach his destination in the shortest possible?arrow_forward
- An auto travels going to Roxas City at a rate of 25 km/hr for 0.045 hour , then at 50 km/hr for 0.056 hr, and finally at 20 km/hr for 0.015 hour. Find the total distance covered in km and the velocity for the complete trip.arrow_forwardAn unidentified flying object (UFO) is observed to travel a total distance of 29000 m, starting and ending at rest, over a duration of 4.77 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2. 520 g s 260 g s 5,098 g s 2,549 g sarrow_forwardFrom a height of 70 ft above ground, an item is flung vertically upward. The object’sstarting velocity is 30 ft/s while experiencing a constant downward acceleration of 32.2 ft/ s 2 . Lookfor the following: a. The object’s velocity and location at any given time (t)b. The objects highest elevation and the moment it was reachedc. The time and velocity at which the object will strike the eartharrow_forward
- A person walks up a stalled 15-m-long escalator in 90 s. When standing on the same escalator, now moving, the person is carried up in 60 s. How much time would it take that person to walk up the moving escalator? Does the answer depend on the length of the escalator?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_forwardA deer is running east to west on a straight line. It runs (a) at a constant speed of 2.5 m/s for the first 24 sec, (b) at a reduced speed (also constant) of 0.6 m/s for the next 15 sec, (c) sprints at a constant speed of 3.1 m/s for the next 1 minute and 40 seconds. Compute the total distance covered and the average speed in mph.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningAn Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning