This is a symbolic version of Problem 29 . A river has a steady speed of v s . A student swims upstream a distance d and back to the starting point. (a) If the student can swim at a speed of v in still water, how much time t up does it take the student to swim upstream a distance d ? Express the answer in terms of d , v , and v s . (b) Using the same variables, how much time t down does it take to swim back downstream to the starting point? (c) Sum the answers found in parts (a) and (b) and show that the time t a required for the whole trip can be written as t a = 2 d / v 1 - v s 2 / v 2 (d) How much time t b does the trip take in still water? (e) Which is larger, t a or t b ? Is it always larger?
This is a symbolic version of Problem 29 . A river has a steady speed of v s . A student swims upstream a distance d and back to the starting point. (a) If the student can swim at a speed of v in still water, how much time t up does it take the student to swim upstream a distance d ? Express the answer in terms of d , v , and v s . (b) Using the same variables, how much time t down does it take to swim back downstream to the starting point? (c) Sum the answers found in parts (a) and (b) and show that the time t a required for the whole trip can be written as t a = 2 d / v 1 - v s 2 / v 2 (d) How much time t b does the trip take in still water? (e) Which is larger, t a or t b ? Is it always larger?
Solution Summary: The author explains the time taken for a student to swim upstream and downstream.
This is a symbolic version of Problem 29. A river has a steady speed of vs. A student swims upstream a distance d and back to the starting point. (a) If the student can swim at a speed of v in still water, how much time tup does it take the student to swim upstream a distance d? Express the answer in terms of d, v, and vs. (b) Using the same variables, how much time tdown does it take to swim back downstream to the starting point? (c) Sum the answers found in parts (a) and (b) and show that the time ta required for the whole trip can be written as
t
a
=
2
d
/
v
1 -
v
s
2
/
v
2
(d) How much time tb does the trip take in still water?
(e) Which is larger, ta or tb? Is it always larger?
air is pushed steadily though a forced air pipe at a steady speed of 4.0 m/s. the pipe measures 56 cm by 22 cm. how fast will air move though a narrower portion of the pipe that is also rectangular and measures 32 cm by 22 cm
No chatgpt pls will upvote
13.87 ... Interplanetary Navigation. The most efficient way
to send a spacecraft from the earth to another planet is by using a
Hohmann transfer orbit (Fig. P13.87). If the orbits of the departure
and destination planets are circular, the Hohmann transfer orbit is an
elliptical orbit whose perihelion and aphelion are tangent to the
orbits of the two planets. The rockets are fired briefly at the depar-
ture planet to put the spacecraft into the transfer orbit; the spacecraft
then coasts until it reaches the destination planet. The rockets are
then fired again to put the spacecraft into the same orbit about the
sun as the destination planet. (a) For a flight from earth to Mars, in
what direction must the rockets be fired at the earth and at Mars: in
the direction of motion, or opposite the direction of motion? What
about for a flight from Mars to the earth? (b) How long does a one-
way trip from the the earth to Mars take, between the firings of the
rockets? (c) To reach Mars from the…
Biology: Life on Earth with Physiology (11th Edition)
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