You are driving at a constant velocity of magnitude v0 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. B) Find the magnitude of ax, the acceleration of the car after the brakes are applied, in terms of the variables d, t, and v0 You should have found in part B. that ax = v20 C) 2(d−v0t). Based on this expression, what happens to ax 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.
A) You are driving at a constant velocity of magnitude v0 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.
B) Find the magnitude of ax, the acceleration of the car after the brakes are applied, in terms of
the variables d, t, and v0
You should have found in part B. that ax = v20
C) 2(d−v0t). Based on this expression, what happens
to ax 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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