Question

A car starts from rest and accelerates uniformly 4 seconds till it attains a speed of 10 metre per second then it maintains the speed for 3 second the car then accelerate and comes to rest in next 6 seconds plot V-T graph

Answer 1

Answer:

Explanation:

it should start from origin bcoz car starts from rest

and it should make straight line with time axis for first four seconds

and parallel to time axis for next 3 sec

Answer 2

Answer:

ANSWER

For   0<t<4 s  :

Let the acceleration of the particle be  a  ( constant)

Initial velocity of the particle    u=0

Using       S=ut+  

2

1

​  

at  

2

                     

∴   x=0+  

2

1

​  

at  

2

                       ⟹x=  

2

at  

2

 

​  

          for    0<t<4

Thus the x-t graph is parabola symmetric about x axis   for  0<t<4  

Velocity of particle at t=4 s,       v=0+a(4)=4a  m/s

For   t>4 s  :

Acceleration of the particle is zero   i.e  a=0

∴   x=vt=4at             for  t>4 s

Thus x-t graph is a straight line  for  t>4 s

Explanation: