kinematics Flashcards
accelaration in nth second
u+a/2*(2n-1)
eqn of trajectory
y=xtan@-g/2u^2cos^2@*x^2
vertical height covered
u^2sin^2@/2g
horizontal range
u^2(2sin@cos@)/g
max range
45
time of flight
2usin@/g
relation b/w H RT
rtan@=4H=1/2 gt2
contempory angles
R@=4√H@H90-@=1/2GT@T90-@`
velocity at an instant of projectile
√(ucos@)^2+(usin@-gt)^2
inclined at an angle=tan β=usin@-gt/ucos@
eqn of trajectory in horizontal
y=gx^2/2u^2
time of flight in horizontal
t=√2h/√g
horizontal range in horizontal projectile
R=u√2h/√g
velocity of hoizontal projectile t NY TIME
V=√u^2+g^2t^2`
speed
Speed is defined as the total path length (or actual distance
covered) by time taken by object
speed=distance/time taken
average speed
total distance travelled/time
velocity
Velocity is defined as ratio of displacement and
corresponding time interval taken by an object.
velocity=displacemet/time interval
average velocity
total displacement/total time taken
uniformly accelarated motion
v=u+at
s=ut+1/2 at^2
v^2=u^2+2as
Equation of uniformaly accelerated motion under gravity are
v=u-gt
s=ut-1/2gt^2
v^2=u^2-2gh
what is a projectile
Projectile is an object which once projected in a given direction with given velocity and is then free to move under gravity alone.
Two trains A and B are running in the same direction on
parallel tracks such that A is faster than B. If packets of
equal weight are exchanged between the two, then
Initially, the momentum of the packet in train A is more than in train B. When packets are changed, the packetreaching train A being of lower momentum will retard the train A but packet reaching train B, being of higher momentum will accelerate B
