can you solve this Q ASAP Problem 2.44 Suppose you are driving at speed v0 when

Question

can you solve this Q ASAP

Problem 2.44 Suppose you are driving at speed v0 when a sudden obstacle in the road forces you to make a quick stop. Part A If your reaction time before applying the brakes is tR, what constant deceleration (absolute value of ax ) do you need to stop in distance d? Assume that d is larger than the car travels during your reaction time. Express your answer in terms of the variables v0, d, tR. |ax|=d=v0(t+tR)+1/2at^2 Part B Suppose you are driving at 24m/s when you suddenly see an obstacle 46m ahead. If your reaction time is 0.50 s, what would your cars minimum deceleration need to be in order to avoid a collision? Express your answer to two significant figures and include the appropriate units. |ax|= Value Units

Explanation / Answer

(a)
d = v0tR + v0t + 1/2at^2
d = v0*(t+tR) + 1/2at^2

(b)

you take 0.5 seconds to react, meaning we need to find out how far away you are when you start hitting the breaks.
Distance = Speed*Time
x = (24 m/s)*(0.5 s)

= 12 m

(v-final)^2 = (v-initial)^2 + (2)*(acceleration)(change in distance)

0 = (24 m/s)^2 + 2*a*(46 m)
- 576 m^2/s^2 = 2*a*46
a = - 6.26 m/s^2

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