A car initially traveling eastward turns horth by traveling in a circular path unirorm speed as in the figure below. The length of the arc ABC IS 254 m, and the car Three poin the g d by a V 35.0° C B (a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors î and j. -0.196 First find the magnitude of the acceleration; then work out the components of the vector. m/s² î + -0.137 Note that 254 is one quarter of the circumference of the circular path. m/s2 i (b) Determine the car's average speed. 7.93 m/s (c) Determine its average acceleration during the 32.0-s interval. -0.12 The average acceleration is determined from v.-v. m/s2 i +.0 12

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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
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A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 254 m, and the car completes the turn in 32.0 s.
y
An xy cordinate system is shown.
Three points A, B, and Carhown on
the graph These points arepined by a
dotted curve. Poin
v-axis, pont
while p O
is on te negative
the posive x-axis,
35.0°
Corant I
X-axis.
at an ang
From poir
right
upward to cross B and en meets C. An
arrow indcating theelocity at point A
points hA to the right. An
arrow indicating the velocity at point C
points vertically upward.
A the
lly moves
long
B curves
(a) What is the acceleration when the car is
B located at an angle of 35.0°? Express your answer in terms of the unit vectors î and j.
|-0.196
First find the magnitude of the acceleration; then work out the components of the vector. m/s2 î +|-0.137
Note that 254 is one quarter of the circumference of the circular path. m/s2 j
(b) Determine the car's average speed.
7.93
m/s
(c) Determine its average acceleration during the 32.0-s interval.
-0.12
The average acceleration is determined from v-v,. m/s2 î + |-0.12
You can determine the y component of the average acceleration by considering only the y components of the initial and final velocities. m/s? ĵ
Transcribed Image Text:A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 254 m, and the car completes the turn in 32.0 s. y An xy cordinate system is shown. Three points A, B, and Carhown on the graph These points arepined by a dotted curve. Poin v-axis, pont while p O is on te negative the posive x-axis, 35.0° Corant I X-axis. at an ang From poir right upward to cross B and en meets C. An arrow indcating theelocity at point A points hA to the right. An arrow indicating the velocity at point C points vertically upward. A the lly moves long B curves (a) What is the acceleration when the car is B located at an angle of 35.0°? Express your answer in terms of the unit vectors î and j. |-0.196 First find the magnitude of the acceleration; then work out the components of the vector. m/s2 î +|-0.137 Note that 254 is one quarter of the circumference of the circular path. m/s2 j (b) Determine the car's average speed. 7.93 m/s (c) Determine its average acceleration during the 32.0-s interval. -0.12 The average acceleration is determined from v-v,. m/s2 î + |-0.12 You can determine the y component of the average acceleration by considering only the y components of the initial and final velocities. m/s? ĵ
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