VECTOR MECHANIC
12th Edition
ISBN: 9781264095032
Author: BEER
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 11.1, Problem 11.7P
A girl operates a radio-controlled model car in a vacant parking lot. The girl’s position is at the origin of the xy coordinate axes, and the surface of the parking lot lies in the x–y plane. She drives the car in a straight line so that the x coordinate is defined by the relation x(t) = 0.5t3 − 3t2 + 3t + 2, where x and t are expressed in meters and seconds, respectively. Determine (a) when the velocity is zero, (b) the position and total distance traveled when the acceleration is zero.
Fig. P11.7
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A girl operates a radio-controlled model car in a vacant parking lot. The girl’s position is at the origin of the xy coordinate axes, and the surface of the parking lot lies in the x-y plane. She drives the car in a straight line so that the x coordinate is defined by the relation x(t) = 0.5t3 - 3t2 + 3t2 + 3t + 2, where x and t are expressed in meters and seconds, respectively. Determine (a) when the velocity is zero, (b) the position and total distance travelled when the acceleration is zero.
1- A particle moves along the x axis. Its position varies with time according to the expression
x=-41+ 2f where x is in meters and t is in seconds. The position-time graph for this motion
is shown in Figure. Note that the particle moves in the negative x direction for the first second
of motion, is momentarily at rest at the moment 1 = 1 s, and moves in the positive x direction
at times /> 1 s.
(A) Determine the displacement of the particle in the time intervals t=0 to 1=1 s and t= 1 s
to / = 3 s.
B) Calculate the average velocity during these two-time intervals
C) determine the instantaneous velocity and instantaneous speed at t= 0.5 s.
x(m)
Slope = 4 m/s
10
00
8
9
10
O
Slope =-2 m/s
1
2
015
t(s)
Two cars A and B are stopped at a traffic light, waiting for the light to change from red to green, see Figure 3. Car B is 6 meters behind car A. When the light changes to green, car A leaves accelerating at a rate of 0.3 m / sec2, while car B departs 2 seconds later and accelerates at a rate of 0.8 m / sec2. Determine the position where they are next to each other, measured from the “o” point.
Chapter 11 Solutions
VECTOR MECHANIC
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