a ball is shot straight up from the surface of the earth with an initial speed of 19.6 m/s. Neglect any effects due to air resistance. 29. What is the magnitude of the ball's displacement from the starting point after 1.00 has elapsed? 30. what maximum height will the ball reach? 31. how much time elapses between the throwing of the ball and its return to the original launch point?
voy=19.6 cause we are dealing with y, right?
1.00 second has elapsed for problem 29
for number 19 is it seconds? 1.00seconds? and yes, we're dealing with y
oh okay, i just asked that XD
my vault lol
so the magnitude is v y final?
oh no, it is 14.7
where did I go wrong
unless if magnitude is voy-gt/2
though I am not sure
do you want to solve it here or i can just solve it on my own and just tell me what you got.? we don't need to find for vfy for number 29, just use d=viyt+1/2at^2 viy (initial velocity is 19.6 m/s)
no gravity either?
acceleration=gravity
so a=9.8?
yes
if I am not mistaken
hmm
so what did you get for 29?
I get d=19.6t+1/2at squared
a=9.8 right?
19.6+24.01=43.61 but that isn't the correct answer
remeber t=1.00 sec and yes a=9.8m/s^2 and vi=19.6 m/s
the correct answer is 14.7
so I am messing up somewhere
ahh 4.9 and 19.6
I made a carless mistake
so 19.6-4.9=14.7
because velocity is up and acceleration due to gravity is down so it will be 19.6-4.9=14.7
and you're right again XD i guess i need to practice typing fast O.O
ahh I get it
I learn the most when I practice with others than practicing alone personally
what maximum height will the ball reach?
so Vy=Voy-2g(y-yo)
opps, thats not wright...
let's list what we have so far a= -9.8 m/s^2 vi= 19.6 m/s so for number 30, Vf will be 0 m/s for easier calculation, use \(\Large V_f^2=V_i^2 + 2ad\)
30 is 19.6 hmm...
what a minute, the ball was shot in the air for 1 second
19.6 times 1=19.6
so the maximum height the ball will reach is 19.6 at 1 second, right?
or am I approaching it the wrong way?
we're not sure if the ball reached the maximum height in 1 second, so it's better not to use the time
for number 29, they just asked where will the ball after 1 sec..
so the ball will reach a maximum height
of 19.6
that's the initial velocity
the maximum height is apparently 19.6m as well according to the answer key
maybe it is just coincidence?
anyways
we got to wrap this up soon
how much time elapses between the throwing of the ball and its return to the original launch point?
oh you already solved it , wait give me a sec, i'll solve it too , sorry :/
its fine
yeah, i got the same thing 19.6 okay next question XD how much time elapses between the throwing of the ball and its return to the original launch point? d=0 so we can use d=vit + 1/2 gt^2 now we need to use the quadratic formula ^.^
still there? O.o
yeah
so 4.9t squared+19.6t-14.7=0?
don't forget the direction the gravity is down, velocity is up set up as positive, gravity will be negative
-4.9tsquared+19.6t-14.7?
where did you get 14.7? it's the maximum height right? we actually dont need it because it's asking for the time when the object came back to its original position so it will be zero: \(-4.9t^2+19.6t+0\)
ahh
derp
ok
got it
thank so much for all the help
9: 57 pm here 3 mins more , anything else?? ^.^ good luck on your exams!! you can do it!! remember your directions (positive or negative), your units
when do you know when something is positive and when something is negative?
it depends on which direction you set as positive or negative
shot a rocket up
between shooting a rocket down
if you set up as positive , down will be negative and vice versa for objects going up, it's more efficient to use \(up\) as positive for objects thrown downwards, it's more efficient to use \(down\) as positive
thank man, I really do appreciate it
no problem (^_^) i'm doing physics too ! so no worries ;p
Join our real-time social learning platform and learn together with your friends!