Free Fall: Particle Velocity, Acceleration, Displacement

[StephenDoty]

A particle is launched vertically at an upward velocity of 39.24m/s. Neglecting air resistance
what is the paricle's velocity on impact
average acceleration
average velocity
and displacement after impact

 

[rocomath]

What equation do you think you will need for this question?

Also, you need to show some work.

 

[StephenDoty]

0=39.24^2 +2(-9.8)s
s=78.56

vf^2= 1539.78+19.6(157.12)
vf= 67.96m/s
displacement = zero
67.96=39.24+9.8t
28.72=9.8t
t=2.9s
average acceleration = (28.72)/2.9 = 9.8m/s ------right??
If the displacement is zero then how do you find the average velocity??

 

[StephenDoty]

Since it is a straight free fall v0=39.24 vf=-39.24
vf=v0+at
-39.24=39.24+(-9.8)t
-78.48=-9.8t
t=8.00 sec

avg Acceleration= -78.48/8=9.81
avg velocity = 0-0/8 = 0??
displacement = 0

Any help?

 

[StephenDoty]

Do you use vf=-v0
or do you use vf^2= 1539.78+19.6(157.12)
where 157.12 is the greatest height times 2

Which do we use?

 

[PowerIso]

0=39.24^2 +2(-9.8)s
s=78.56

Why did you assume that the final velocity would be zero? Especially when the problem ask you what the final velocity would be on impact.

 

[StephenDoty]

s=78.56
was the maximum height.

Do you use vf=-v0
or do you use vf^2= 1539.78+19.6(157.12)
where 157.12 is the greatest height times 2

I think it is vf=-v0

 

[StephenDoty]

If you do use vf=-v0 then vf=-39.24m/s
then avg acceleration= -39.24-39.24/8=9.8m/s
-39.24=39.24-9.8t
-78.48/-9.8=8.00=t

displacement is 0 because the particle went up then down.
How do you find the avg velocity = delta s/delta t
when delta s = 0?

 

[StephenDoty]

to find avg velocity do I use the distance which is the max height times 2 or do I use the displacement of 0?

 

[StephenDoty]

I have to turn this in tomarrow. So any help on whether to use the displacement of 0 or the distance and the time to find the avg velocity would really be appreciated.
Thanks
stephen

 

[physixguru]

for upward motion:
u= 39.24 m/s
a=-g
v=0
0=39.24*39.24-2*9.8s
>s= 78.56 m

now for downward motion:

u=0
s=78.56
a=g
v=[2*9.8*78.56]^1/2

>>[1539]^1/2

this is the velocity after impact.

avg accln=9.8 m/s^2

avg velocity=0 [ since displacement=0]

 

[StephenDoty]

Is that velocity on impact because that is what I need to find

 

[physixguru]

yes..

 

[Shooting Star]

A particle is launched vertically at an upward velocity of 39.24m/s. Neglecting air resistance
what is the paricle's velocity on impact

One small tip for future use. The rise and fall of a particle from and to the same point is symmetrical. That is to say, the time of rise is equal to the time of fall. It has the same speed going upward at a certain point as when crossing the same point downward again. No wonder the velo of impact equals the velo of throw. The time taken to rise from h1 to h2 in between is the same as the time to fall from h2 to h1 when coming down.

Of course, you must deduce all these at least once in your life, to make life easier thence.