+91-87964 74404
FlagBACK
Question icon
Grade 11Mechanics

A particle is moving in the +X direction with its velocity V= .Assume that at t=0,the particle was located at X=0 then the value of time dependence of velocity

Profile image of Sayam Bandyopadhyay
9 Years agoGrade 11
Answers icon

1 Answer

Profile image of deepak
9 Years ago
clearly state the value of v
i think i know the question,
if v=ax^1/2
then take v=dx/dt
=>dx/dt=ax^12
=>dx/(x^1/2)=at
on intergrating,
2x^1/2=at+c
as its give x=0 => t=0, substituting
c=0
hence,
2x^1/2=at
=>x^1/2=at/2
substituting this in the first eqn,
v=a2t/2
 hope this helps XP
 

Other Related Questions on mechanics

question mark

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

mechanics
1 Answer Available

Last Activity: 9 Months ago

question mark

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.


11

21

31

41

mechanics
1 Answer Available

Last Activity: 9 Months ago

question mark
A metal strip clamped at one end vibrates with a frequency of 20 Hz and amplitude of 5 mm
at the free end, where a small mass of 2 g is positioned. determine
(i) The velocity of the end when passing through the zero position
(ii) The acceleration at maximum displacement
(iii) The maximum kinetic energy of the mass
mechanics
2 Answers Available

Last Activity: 3 Years ago

question mark
An object of mass m = 0.25 kg oscillates in a fluid at the end of a vertical spring of spring
constant kH = 85 N/m, see Fig.1. The effect of the fluid resistance is governed by the
damping constant b = 0.07kg/s.
(i) Find the period of the damped oscillation.
(ii) By what percentage does the amplitude of the oscillation decrease in each cycle? 
mechanics
1 Answer Available

Last Activity: 3 Years ago

question mark
If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0
mechanics
1 Answer Available

Last Activity: 3 Years ago