Do we have any shortcut tricks/formulae to solve projectile motion and collision problems ??
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For projectile motion, first of all, choose the formula if there are 2 directions for example in such questions then separate them into two parts. The formula for that can be used is Vx = dx/t (this formula can be for one direction) for another direction you can use this formula:
a = vf-vi/t
d = 1/2 (vi +vf) t
v2f = vi2 + 2ad
d = vft -1/2 at2
d = vit +1/2 at2
In the above equations vf can be canceled out then we will be left with this equation:
d = vit +1/2 at^2 (this is the shortest form of above-mentioned formula)
dy = viyt + 1/2ayt2
for direction A = Vx = dx/t
for direction B = dy = viyt + 1/2 ayt2
and before solving and using this formula the first step would be to find the time.
For collision problem first of all the velocities should be found out with the letter Vi (initial velocity of one object) and V2i (initial velocity of another object)
If one object is going backward it will have a negative value and if another object is going forward it will be positive.
For the masses of the objects write M1 and M2
Starting off with solving
The velocity and mass of 1st object will be multiplied with the second and same is with the second.
V1M1 + V2M2 this will be equal to V1M1 f + V2M2 f (f here is final)
The things which you do not know are known as final velocities.
Simplify the above-given formula as much as you can.
a = vf-vi/t
d = 1/2 (vi +vf) t
v2f = vi2 + 2ad
d = vft -1/2 at2
d = vit +1/2 at2
In the above equations vf can be canceled out then we will be left with this equation:
d = vit +1/2 at^2 (this is the shortest form of above-mentioned formula)
dy = viyt + 1/2ayt2
for direction A = Vx = dx/t
for direction B = dy = viyt + 1/2 ayt2
and before solving and using this formula the first step would be to find the time.
For collision problem first of all the velocities should be found out with the letter Vi (initial velocity of one object) and V2i (initial velocity of another object)
If one object is going backward it will have a negative value and if another object is going forward it will be positive.
For the masses of the objects write M1 and M2
Starting off with solving
The velocity and mass of 1st object will be multiplied with the second and same is with the second.
V1M1 + V2M2 this will be equal to V1M1 f + V2M2 f (f here is final)
The things which you do not know are known as final velocities.
Simplify the above-given formula as much as you can.
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