Motion in a Straight line

formula for acceleration

(Final Velocity - Starting Velocity)/ time

formula for speed

speed = distance / time

formula for average speed

Average speed = total distance / total time

distance is a _ quantity, it is always _

scalar, positive

displacement does not depend on _, it is a _ quantity
how to find it using a graph

path, vector
area of velocity - time graph

average speed =
Savg for equal time interval
Savg for equal distance

total distance / total time
S1 + S2 / 2
2 S1 S2 / S1 + S2

uniform motion

equal distance in equal time in one direction
uniform velocity: avg v = instantaneous v

when a = 0

S = vt
uniform motion (constant velocity)

equations of motion

v = u + at
S = ut + (1/2) at^2
v^2 - u^2 = 2aS

motion under gravity: non uniform motion with uniform acceleration
object is dropped from some height
T, vt, vground, v avg

T = sq root (2H / g)
vt = gt, vground = sq root (2gH)
vavg = sq root (gH / 2)

river downstream
meaning, t =

Vman is same as Vriver (direction)
t = S / vm + vr

river upstream
meaning, t =

Vman is opposite to Vriver (direction)
t = S / vm - vr

Important Terms

Acceleration avg

Average Velocity

Only valid when constant Acceleration

Velocity mid

Gallileo’s ratio in 1sec, 2sec and 3 sec

Gallileo’s ratio in 1st, 2nd and 3rd

Displacement time graph

Motion under gravity

Time of flight
Velocity at ground

distance and displacment?