How Do You Calculate Stopping Distances and Projectile Motion?

In summary, the conversation is about two different physics problems that the person needs help with. The first problem involves determining stopping distances for a car with different accelerations and a human reaction time. The second problem involves calculating the time it takes for a football to hit the ground after being kicked at an angle. The summary suggests using kinematic equations and resolving components to solve these problems.
  • #1
thschica
47
0
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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  • #2
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
 
  • #3
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.
 

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