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kinematics.....

concepts.....

v = ds/dt
a = dv/dt
s = vdt
v = adt

where v = velocity, a = acceleration.

Equations of motion of a body moving in a straight line are :

v = u + at
s = ut + at²/2
v² = u² + 2as

where v = final velocity, u = initial velocity, a = acceleration, t = time, s = displacement....

If a body is thrown vertically up with velocity u in uniform gravitational field than ( neglecting air resistance )

Maximum height H attained = u²/2g
time of ascent = time of descent = u/g
total time of flight = 2u/g
Velocity at the fall of projection = u downwards.

KINEMATIC GRAPH

Slope of displacement time graph at any particular time gives the magnitude of instantaneous velocity at that particular time
Slope of v-t graph (velocity - time) will give magnitude of instantaneous acceleration.
The area between the v-t graph will represent the total displacement of the body

RELATIVE VELOCITY : Velocity of A relative to B is given as V_AB = V_A - V_B

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