94. An object's acceleration increases quadratically with time: CH a(1) = br, where b = 0.041 m/s". If the object starts from rest, how far does it travel in 6.3 s?

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11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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question 94 and 95

(a) the instantancous velocity al
time.
You're a consultant on a movie set, and the producer wants a car to
drop so that it crosses the camera's field of view in time Ar. The field
of view has height h. Derive an expression for the height above the
pall
er does
89.
and on
urface
top of the field of view from which the car should be released.
(a) For the ball in Example 2.6, find its velocity just before it hits
90.
CH
the floor. (b) Suppose you had tossed a second ball straight down
at 7.3 m/s (from the same place 1.5 m above the floor), What
would its velocity be just before it hits the floor? (c) When would
the second ball hit the floor? (Interpret any multiple answers.)
ntact,
mum
f the
this
a matter of physics. The novel's central character is kept awake
at night by a leaky faucet. The sink is 19.6 cm below the faucet,
At the instant one drop leaves the faucet, another strikes the sink
below and two more are in between on the way down. How many
her
91.
Your roommate is an aspiring novelist and asks your opinion on
ex-
at
S.
92. Boxes move at constant speed v along a conveyer belt in an au-
tomated factory. A robotic hand is suspended a distance h above
drops per second are keeping the protagonist awake?
the conveyer belt, and its purpose is to drop a product into each
belt. Find an expression for the location of the box, expressed as
a distance from a point below the robotic hand, at the instant the
box. The robot's eyes observe each box as it moves along the
93. Derive Equation 2.10 by integrating Equation 2.7 over time.
You'll have to interpret the constant of integration. w.o.gs
hand should release the product.
94. An object's acceleration increases quadratically with time:
CH
a(1) = br², where b = 0.041 m/s*. If the object starts from rest,
CH
95. An object's velocity as a function of time is given by
CH
v(1) = bt - ct, where b and c are positive constants with ap-
how far does it travel in 6.3 s?
propriate units. If the object starts at x =0 at time t = 0, find
expressions for (a) the time when it's again at x 0 and (b) its
acceleration at that time.
96. An object's acceleration decreases exponentially with time:
CH a(t)
= aoe bi, where ao and b are constants. (a) Assuming the
object starts from rest, determine its velocity as a function of
time. (b) Will its speed increase indefinitely? (c) Will it travel
indefinitely far from its starting point?
97. A ball is dropped from rest at a height ho above the ground. At the
CH
same instant, a second ball is launched with speed vo straight up
from the ground, at a point directly below where the other ball is
dropped. (a) Find a condition on vo such that the two balls will col-
lide in mid-air. (b) Find an expression for the height at which they
collide.
Passage Problems
A wildlife biologist is studying the hunting patterns of tigers. She
anesthetizes a tiger and attaches a GPS collar to track its movements.
Transcribed Image Text:(a) the instantancous velocity al time. You're a consultant on a movie set, and the producer wants a car to drop so that it crosses the camera's field of view in time Ar. The field of view has height h. Derive an expression for the height above the pall er does 89. and on urface top of the field of view from which the car should be released. (a) For the ball in Example 2.6, find its velocity just before it hits 90. CH the floor. (b) Suppose you had tossed a second ball straight down at 7.3 m/s (from the same place 1.5 m above the floor), What would its velocity be just before it hits the floor? (c) When would the second ball hit the floor? (Interpret any multiple answers.) ntact, mum f the this a matter of physics. The novel's central character is kept awake at night by a leaky faucet. The sink is 19.6 cm below the faucet, At the instant one drop leaves the faucet, another strikes the sink below and two more are in between on the way down. How many her 91. Your roommate is an aspiring novelist and asks your opinion on ex- at S. 92. Boxes move at constant speed v along a conveyer belt in an au- tomated factory. A robotic hand is suspended a distance h above drops per second are keeping the protagonist awake? the conveyer belt, and its purpose is to drop a product into each belt. Find an expression for the location of the box, expressed as a distance from a point below the robotic hand, at the instant the box. The robot's eyes observe each box as it moves along the 93. Derive Equation 2.10 by integrating Equation 2.7 over time. You'll have to interpret the constant of integration. w.o.gs hand should release the product. 94. An object's acceleration increases quadratically with time: CH a(1) = br², where b = 0.041 m/s*. If the object starts from rest, CH 95. An object's velocity as a function of time is given by CH v(1) = bt - ct, where b and c are positive constants with ap- how far does it travel in 6.3 s? propriate units. If the object starts at x =0 at time t = 0, find expressions for (a) the time when it's again at x 0 and (b) its acceleration at that time. 96. An object's acceleration decreases exponentially with time: CH a(t) = aoe bi, where ao and b are constants. (a) Assuming the object starts from rest, determine its velocity as a function of time. (b) Will its speed increase indefinitely? (c) Will it travel indefinitely far from its starting point? 97. A ball is dropped from rest at a height ho above the ground. At the CH same instant, a second ball is launched with speed vo straight up from the ground, at a point directly below where the other ball is dropped. (a) Find a condition on vo such that the two balls will col- lide in mid-air. (b) Find an expression for the height at which they collide. Passage Problems A wildlife biologist is studying the hunting patterns of tigers. She anesthetizes a tiger and attaches a GPS collar to track its movements.
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