Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 5, Problem 33P
(a)
To determine
The value of constant
(b)
To determine
The speed at
(c)
To determine
Show that the acceleration of the boat is proportional to the speed at any time.
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The acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.)
(a) What is the particle's acceleration (in m/s²)?
=
î+ 18.4
v(t) =
(b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin.
r(t) =
î+
X
Î-
i) m/s
m/s
I was wondering how to do this problem. What equation do I need to do to answer this question? And how much do I estimate the last question?
A motor car is moving with initial velocity in the x-direction at 30 m/s. After 30 s, the car applies its brakes steadily to slow down the car to a velocity of 10 m/s in 12 s. The continues onward for 10 s more. How far in m did the car travel for the full 52 s? Report your answer to three sig figs, you don't need to write "m".
HINT: Break up the problem into three stages - 30s, 12s, and the final 10s. During the 12 s, you'll need the acceleration.
Chapter 5 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 5.1 - You press your physics textbook flat against a...Ch. 5.1 - A crate is located in the center of a flatbed...Ch. 5.1 - You are playing with your daughter in the snow....Ch. 5.2 - You are riding on a Ferris wheel (Fig. 5.8) that...Ch. 5.3 - Which of the following is impossible for a car...Ch. 5.3 - A bead slides freely along a curved wire lying on...Ch. 5.4 - Consider a sky surfer falling through air, as in...Ch. 5 - The driver of a speeding empty truck slams on the...Ch. 5 - The manager of a department store is pushing...Ch. 5 - An object of mass m moves with acceleration a down...
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- The velocity of a particle moving along the x-axis is defined by V= kx3 – 4x2 +6x, where V is in m/sec., x is in meters, and k is a constant. If K=1 Compute the value of the acceleration after x= 2 meters.arrow_forwardthe motion of the particle is described by the equation x(t)=at^3-bt^2. where a is 3.36 in m/s^3 and b is 2.84 in m/s^2. find the instantaneous velocity in m/s of the particle from time t 5.93s. Express your answer rounded off to two decimal places. Do not include the unit.arrow_forwardThe acceleration of a particle is a constant. At t = 0 the velocity of the particle is (14.9î + 18.4ĵ) m/s. At t = 3.1 s the velocity is 11.4ĵ m/s. (Use the following as necessa (a) What is the particle's acceleration (in m/s²)? a = -4.81 Î+ -2.28 m/s? (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = v(t) m/sarrow_forward
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