Hi all.
Let's say I have a set of data as follows (the mass of a sample of some chemical measured several times):
23.132 g
24.532 g
21.532 g
22.853 g
23.193 g
(I just made that data up, but imagine that a analytical scale put out those numbers, exactly as shown, on its display.)...
According to your equation, I did this:
Solve[0 == -(14 + 0.08 (-9.81)) + 10 u - 0.08 (-9.81) u^2, u]
It spits out: {{u -> -13.9493}, {u -> 1.20716}}
So far, I have 3 different sets of answers (6 answers in total) which all seem to work out. There should be only 2 solutions. Which one is right?
I put in: Solve[25^2 == (10/t)^2 + ((14 + 4.9 t^2)/(t))^2, t]
It gave me: {{t -> -4.43739}, {t -> -0.791265}, {t -> 0.791265}, {t -> 4.43739}}
These two are the right answers for t: {t -> 0.791265}, {t -> 4.43739}
All I want to know is how to get to this point on paper.
Ok now I have all the equations I need:
V[x]^2 + V[y]^2 = 25^2 = 625
14 = V[y] \Delta t - 4.9 t^2
10 = V[x] \Delta t
I know how to do simultaneous equations. I have to solve for V[x] and V[y] from the second and third equations and plug that into the first one to get time. Then I can...
Haha! I know how that is...
The answer is NO. This is because x could have a positive displacement and could also have a negative acceleration (slowing down) at the same time. Example, you roll a ball on the floor. It moves away from you (positive displacement) but is also slowing down...
No, depends on reference. You can say gravity has a negative acceleration in the y prime, but a falling object is accelerating. The correct term is negative acceleration, not decelerating.
Note: I could be wrong.
Projectile Motion - Finding The Angle
Homework Statement
You are standing 10 m away from a basketball net that is 14 m above the ground. Assume delta d[y] is 14 m, do not account for your height. You launch the ball with a velocity of 25 m/s and it goes in the hoop.
At what angle(s)...
Ok, I did this:
a)
Eg = mgh
Ek = mv^2, where v I put 260 m/s
Et1 = Eg + Ek
b)
Same thing as above but with the second values.
Elost = Et1 - Et2.
The answer is supposed tob e 5.5 x 10^9 Joules but i get 4.98 x 10^9 Joules. What did I do wrong? Did I go about this the right way?