College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 2, Problem 61PE
Using approximate values, calculate the slope of the curve in Figure 2.62 to verify that the velocity at
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Please answer the following question(s):
1. The speed of a boat in still water is vá. A river flows with a speed of v₁. The boat travels
distance of 19 miles downstream in a river in 1 hour. However, the return journey takes 2
hours. Calculate the vand v₁.
Hint: Velocity=displacement/time. Displacement can be positive of neagtive depending on the
direction. You will first need to set up the equations by taking into account the resultant
velocity of the boat in flowing water. Consider the direction the river is flowing to be positive.
Set up two equations, one for the downstream journey and one for the upstream journey, in
terms of "v" and "v":
Do v" and "v, add or substract downstream to give the resultant downstream velocity?
Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the
upstream direction as negative. The resultant upstream velocity should be negative.
vb
vb
Downstream
positive
Vr
Upstream
negative
Vr
The velocity of an object is given by,
= u + at
V
ds
dt.
where, u is the initial velocity, a is the
acceleration, and ₺ is the time in seconds.
Solve the differential equation to obtain the
displacement, s, given that at t = 0, s = 7
(metres)
:
1
if u = 3 ms ¹, a = 2.4 ms 2, calculate the
displacements at t = 4.9 seconds.
Give your answer to 2 decimal places.
Suppose that you drive the 10.0 km from your university to home in 20.0 min. Calculate your average speed (a) in kilometersper hour (km/h) and (b) in meters per second (m/s). (Note: Average speed is distance traveled divided by time of travel.)
Chapter 2 Solutions
College Physics
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It...Ch. 2 - Dragsters can actually reach a top speed of 145...Ch. 2 - A bicycle racer sprints at the end of a race to...Ch. 2 - In 1967, New Zealander Burt Munro set the world...Ch. 2 - (a) A world record was set for the men's 100-m...Ch. 2 - Calculate the displacement and velocity at times...Ch. 2 - Calculate the displacement and velocity at times...Ch. 2 - A basketball referee tosses the ball straight up...Ch. 2 - A rescue helicopter is hovering over a person...Ch. 2 - A dolphin in an aquatic show jumps straight up out...Ch. 2 - A swimmer bounces straight up from a diving board...Ch. 2 - (a) Calculate the height of a cliff if it takes...Ch. 2 - A very strong, but inept, shot putter puts the...Ch. 2 - You throw a ball straight up with an initial...Ch. 2 - A kangaroo can jump over an object 2.50 m high....Ch. 2 - Standing at the base of one of the cliffs of Mt....Ch. 2 - An object is dropped from a height of 75.0 m above...Ch. 2 - There is a 250-m-high cliff at Half Dome in...Ch. 2 - A ball is thrown straight up. It passes a...Ch. 2 - Suppose you drop a rock into a dark well and,...Ch. 2 - A steel ball is dropped onto a hard floor from a...Ch. 2 - A coin is dropped from a hot-air balloon that is...Ch. 2 - A soft tennis ball is dropped onto a hard floor...Ch. 2 - (a) By taking the slope of the curve in Figure...Ch. 2 - Using approximate values, calculate the slope of...Ch. 2 - Using approximate values, calculate the slope of...Ch. 2 - By taking the slope of the curve in Figure 2.63,...Ch. 2 - Construct the displacement graph for the subway...Ch. 2 - (a) Take the slope of the curve in Figure 2.64 to...Ch. 2 - A graph of v(t) is shown for a world-class track...Ch. 2 - Figure 2.68 shows the displacement graph for a...
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