Motion In A Straight Line

Since car accelerates from rest initial velocity is zero. From equation of motion, we have

s%3Du%20t%2B%5Cfrac%7B1%7D%7B2%7D%20a%20t%5E%7B2%7D

where

u

is initial velocity,

t

is time and a is acceleration. Since car accelerates from rest

u%3D0%2C%5C%2C%5C%2C%20t%3D10%5C%2C%20s

%5Ctherefore%20s%3D0%2B%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20a%20%5Ctimes(10)%5E%7B2%7D%3D50%20a

..(i) Also,

v%3Du%20%2Ba%20t

where,

v

is final velocity.

%5Ctherefore

Velocity after

10%5C%2C%20s

v%3D0%2Ba%20%5Ctimes%2010

v%3D10%5C%2C%20a%3D10%20%5Ctimes%20%5Cfrac%7Bs%7D%7B50%7D

..(ii) In the next

10%5C%2Cs

car moves with constant acceleration and with initial velocity

v

%5Ctherefore%20s'%3Dv%20t%2B%5Cfrac%7B1%7D%7B2%7D%20a%20t%5E%7B2%7D

%3D%5Cfrac%7Bs%7D%7B50%7D%20%5Ctimes%2010%20%5Ctimes%2010%2B%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%5Cfrac%7Bs%7D%7B50%7D%20%5Ctimes%20100%3D3%5C%2C%20s

Given,

s%3Dx

and

s'%3Dy

%5Ctherefore%20y%3D3%5C%2C%20x

Chapter Questions
2 MCQs