How Do You Calculate Stopping Distances and Projectile Motion?

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To calculate stopping distances for an automobile, first determine the distance traveled during the human reaction time using the equation x1 = v * tr, where v is the initial speed and tr is the reaction time. For deceleration, apply the kinematic equation to find the distance during braking, using the formula x2 = (v^2 - v0^2) / (2a). For projectile motion, resolve the initial velocity into horizontal and vertical components, applying kinematic equations to find the time of flight. The total stopping distance combines the distance traveled during the reaction time and the distance during deceleration. Understanding these equations is crucial for solving problems related to stopping distances and projectile motion effectively.
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Studying for exams need help very soon!

On both of these I got the right answer but it was so long ago I have no idea how to do them.
(Which equation am I to use?)(v=Vo+at? if so how?)
1.Determine the stopping distances for an automobile with an initial speed of 91 km/h and human reaction time of 3.0 s for the following accelerations.
(a) a = -4.0 m/s2
? m
(b) a = -8.0 m/s2
? m
(This one is beyond me I keep attempting to use equations but none of them are working)
2.5. A football is kicked at ground level with a speed of 20.0 m/s at an angle of 38.0° to the horizontal. How much later does it hit the ground?
? seconds
 
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a) use a kinematic equation to solve for "d"
, then use a kinematic equation to solve for "time"
then add reaction time.

b) resolve the components (sin & cos)
the y component give you time
 
The stopping distance consists of two parts, the distance traveled before the deceleration is applied, which is given by x1 = v tr, where r would be the response time, and then the distance traveled during the period of deceleration, which is governed by a different equation.

see - http://hyperphysics.phy-astr.gsu.edu/hbase/mot.html#mot1
for linear motion in one dimension.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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