Motion
when an object move from one place to another place with the respect of time :
Is called motion.
Distance :
- it is the total path covered by a moving object.
- It is denoted by ‘s’ and its unit is metre.
- It is scalar quantity.
Speed:
- speed is the distance covered by an object per unit time .
- Speed is denoted by ‘v’
- s.i unit of speed is m/s
- it is scalar quantity. And speed =distance /time
Displacement :
- it is the shortest distance between the final point to intinal point .
- it is the vector quantity .
- s.i unit of displacement =m/s.
velocity :
- it is defined as displacement per unit time.
- velocity is denoted by “V”
- velocity is a vector quantity
- s.i unit of velocity is m/s
acceleration :
- it is defined as the rate of change of velocity.
- Acceleration =v-u/t
- Si unit of acceleration is m/s2
Retardation:
- retardation is the change in velocity per unit time when the intinal velocity is more than the final velocity.
- s.i unit is m/s2
equation of motion
- v=u+at
- s=ut+1/2at2
- v2=u2-2as
Example
Q; the break applied to a car produce acceleration of 6ms2in
the opposite direction to the motion .
if the car take 2s tostop after the application of brake .
calculate the distance during this time.
Ans given
A=6m/s2
V=o,t= 2s
According to the first equation of motion
V=u+at
O=u+6*2 ,u=12
Acccortion to the second equation of the motion
S=utr+at2
=24-12
=12m
Q : a car accelerate uniformly 18km/h to 36km/h in 5s calculate acceleration and distance?
Ans u=18km/h, v=36km/h ,t= 5s
From first eqation of motionV=u+at10=5+5a10-5=5aA= 5/5According to the 2nd equation of motionS=ut+at2 =25+1/2*25 25+12.5=37.5m
Q a train started
from rest to attain a velocity of 72km /h in 5 min. find acceleration and
distance?
Ans u=om/s
V=72km/h
T= 5miin
According to the firs t equation of motion
V=u+at
20=0+300a
300a=20
A=20/300
1/15
According to the 2nd equation of motion.
S=ut+1/2at2
=o*300+1/2*1/5*300
3000m
3km
6. A car accelerates uniformly from 18 km h–1 to 36 km h–1 in 5 s. Calculate (i) the acceleration and
ANS- U= 18 km h-1 = 5 m s-1 , V= 36 km h-1 = 10 m s-1 , t = 5 s
ANS- a = -6 m s-2 , t = 2 sec , V= 0 m s-2
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