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alex41 [277]
3 years ago
13

you are driving at 18m/s down Lyndale​ avenue. A car backs out a driveway 25 meters in front of you. You continue at that speed

while your brain processes the danger which takes 0.25 seconds. You then slam on the brakes and your car has an acceleration of -5.4m/s^2. Do you stop before reaching the driveway(and hitting the car)? Show your work. This is a two-part​ problem with constant speed and braking.
Physics
1 answer:
zimovet [89]3 years ago
7 0

Hello!

For this, first let's calculate time of stop:

t = (V - Vi) / a

Replacing:

t = (0 m/s - 18 m/s) / -5,4 m/s^2

Resolving:

t = -18 m/s / -5,4 m/s^2

t = 3,33 s + 0,25 s = 3,58 s

Now lets calculate distance traveled, with formula:

d = Vi*t + (a*t^2)/2

Replacing:

d = 18 m/s * 3,58 s + (-5,4 m/s^2 * (3,58 s)^2) /2

Resolving:

d = 64,44 m + (-34,604 m)

d = 29,83 m

Then, the vehicle will CRASH

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Surface tension=75N/m

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\\ \bull\tt\longmapsto Surface\:Tension=\dfrac{Weight}{Displacement}

\\ \bull\tt\longmapsto Displacement=\dfrac{Weight}{Surface\:Tension}

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You are driving home from school steadily at 95.0 km/h for 130 km. It then begins to rain and you slow to 65.0 km/h. You arrive
harkovskaia [24]
Very simple,Its all about calculating distance using the formula:
D = V x T
where,
V is the speed or velocity
D is distance
T is the time
In the given problem,there are two parts.
Lets do the calculations for both parts separately:
Part 1) Before the rain
Time = 130/95
         = 1.37 hours <span> </span>
<span>Time taken after the rain = Total time - time taken before the rain  </span>
<span>                                        = 3.34 hours - 1.37 hours
                                        = 1.97 hours </span>
<span>Distance covered after the rain = 1.97 hours x 65 km/h
                                                  = 128 km</span>
Hence,
<span>a) The total distance covered =  130 + 128
                                           = 258 km
</span><span>b) Average speed = Total distance/Total time
                             =  260/3.34
                             = 78 km/h </span>
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3 years ago
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