3. You are driving at a constant velocity of magnitude vo when you notice a garbage can on the road in front of you. At that moment, the distance between the garbage can and the front of the car is d. A time t after noticing the garbage can, you apply the brakes and slow down at a constant rate before coming to a halt just before the garbage can. 3a. Which of these diagrams is the correct pictorial representation of the problem? Explain. (a) (b) (c) (d) V 7 CU U T See can a=0) ā a=0 a=0 a a Hit brakes 7 a 3b. Which graph correctly represents the situation described in this problem? Explain. Alv BU Stop Dv 3c. Find the magnitude of ar, the acceleration of the car after the brakes are applied, in terms of the variables d, t, and vo.. vo Based on this expression, what happens 3d. You should have found in part 3c. that ax = 2(d-vot) to ar if t increases and all the other variables remain constant? i) decreases because it is inversely proportional to a linear function of t that increases as t increases. ii) increases because it is inversely proportional to a linear function of t that increases as t increases. iii) increases because it is a linear function of t. iv) decreases because it is inversely proportional to a linear function of t that decreases as t in- creases. v) increases because it is inversely proportional to a linear function of t that decreases as t increases.
3. You are driving at a constant velocity of magnitude vo when you notice a garbage can on the road in front of you. At that moment, the distance between the garbage can and the front of the car is d. A time t after noticing the garbage can, you apply the brakes and slow down at a constant rate before coming to a halt just before the garbage can. 3a. Which of these diagrams is the correct pictorial representation of the problem? Explain. (a) (b) (c) (d) V 7 CU U T See can a=0) ā a=0 a=0 a a Hit brakes 7 a 3b. Which graph correctly represents the situation described in this problem? Explain. Alv BU Stop Dv 3c. Find the magnitude of ar, the acceleration of the car after the brakes are applied, in terms of the variables d, t, and vo.. vo Based on this expression, what happens 3d. You should have found in part 3c. that ax = 2(d-vot) to ar if t increases and all the other variables remain constant? i) decreases because it is inversely proportional to a linear function of t that increases as t increases. ii) increases because it is inversely proportional to a linear function of t that increases as t increases. iii) increases because it is a linear function of t. iv) decreases because it is inversely proportional to a linear function of t that decreases as t in- creases. v) increases because it is inversely proportional to a linear function of t that decreases as t increases.
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Transcribed Image Text:3.
You are driving at a constant velocity of magnitude vo when you notice a garbage
can on the road in front of you. At that moment, the distance between the garbage can and the
front of the car is d. A time t after noticing the garbage can, you apply the brakes and slow down
at a constant rate before coming to a halt just before the garbage can.
3a. Which of these diagrams is the correct pictorial representation of the problem? Explain.
(a)
(b)
(c)
(d)
T
7
Cv
T
U
See can
a=0
a
a=0
a=0
a
a
Hit brakes
á
a
1
3b. Which graph correctly represents the situation described in this problem? Explain.
Alv
BU
Dv
Stop
3c. Find the magnitude of ar, the acceleration of the car after the brakes are applied, in terms of
the variables d, t, and vo.
v
3d. You should have found in part 3c. that ax = 2(d-vot). Based on this expression, what happens
to ar if t increases and all the other variables remain constant?
i) decreases because it is inversely proportional to a linear function of t that increases as t increases.
ii) increases because it is inversely proportional to a linear function of t that increases as t increases.
iii) increases because it is a linear function of t.
iv) decreases because it is inversely proportional to a linear function of t that decreases as t in-
creases.
v) increases because it is inversely proportional to a linear function of t that decreases as t increases.
4
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