equation for displacement time relation
Answers
Answer:
S=ut+1/2at^2
s= displacement
u= intial velocity
t=time
a=acceleration
Hope it will help you..
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✒✒✒✒ ANSWER ✒✒✒✒
Variation on the equations of motion
traditional name equation relationship
1st equation v = v0 + at velocity-time
2nd equation ∆s = v0t + ½at2 displacement-time
3rd equation v2 = v02 + 2a∆s velocity-displacement.
∆s = displacement (change in position)
v0 = initial velocity
v = final velocity
a = acceleration
t = time
The signs on the spatial quantities should be…
the same if they point in the same direction
opposite if they point in opposite directions
The choice of which direction is positive and which is negative is arbitrary.
The laws of physics are isotropic (are not affected by your choice).
Make your decision and stick with it. (Be consistent.)
s = s0 + v0t + ½at2 [2]
like this…
s = s0 + v0 ⎛
⎜
⎝ v − v0 ⎞
⎟
⎠ + ½a ⎛
⎜
⎝ v − v0 ⎞2
⎟
⎠
a a
s − s0 = vv0 − v02 + v2 − 2vv0 + v02
a 2a
2a(s − s0) = 2(vv0 − v02) + (v2 − 2vv0 + v02)
2a(s − s0) = v2 − v02
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