Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 3, Problem 33P
(a)
To determine
To Draw:A motion diagram for the data collected for a rookie bungie jump and the acceleration for each consecutive
(b)
To determine
Whether, the y component of the acceleration varies in sign and in magnitude when the direction of motion is reversed.
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The position-time graph that
describes the motion of an object is
given as in the figure below.
if the values of a= 138.4m, b=227.5m
and c=312.5m, Find the distance
traveled by the object ( in units of m)
over the time interval of [0, 40] s.
x(m)
a
t(s)
10
30
40
Select one:
O A. 263.2
OB. 401.6
OC. 490.7
OD. 678.4
O E. 540.0
20
Then, substituting the time, results to the following
hmax = (
)+ (1/2)ay(
Substituting ay = -g, results to
hmax = (
)- (1/2)g(
simplifying the expression, yields
hmax =
x sin
b)
The distance traveled by a projectile follows a uniform motion, meaning, velocity is constant from the start point until it reach the ground along the
horizontal axis, so, the range R can be expressed as
R= Vinitial-xt
Substituting the initial velocity on the x-axis results to the following
R = (
)t
But, the time it takes a projectile to travel this distance is just twice of tmax-height, by substitution, we obtain the following:
R =
x 2 x (
Re-arranging and then applying the trigonometric identity
sin(2x) = 2sin(x)cos(x)
we arrive at the expression for the range R as
R =
sin
the 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.
Chapter 3 Solutions
Physics for Scientists and Engineers
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