a particle in 1D motion is subjected to an acceleration a = -alpha . t, where alpha is a positive constant. initial velocity is u at t = 0. the velocity of particle after time t is

JEE Class main Answered

a particle in 1D motion is subjected to an acceleration a = -alpha . t, where alpha is a positive constant. initial velocity is u at t = 0. the velocity of particle after time t is

Asked by saijayanthno1 | 08 Jul, 2021, 05:38: PM

Expert Answer

Acceleration , a =

begin mathsize 14px style fraction numerator d v over denominator d t end fraction end style

= - α t ......................(1)

where v is velocity function of time

By integrating eqn.(1) , we get

begin mathsize 14px style integral subscript u superscript v d v space equals space minus alpha integral subscript 0 superscript t d t space end style

where u is initial velocity at t = 0 and v is velocity after time t

we get from above integration ,

begin mathsize 14px style v space equals space u space minus space 1 half alpha space t squared end style

Answered by Thiyagarajan K | 08 Jul, 2021, 05:49: PM

Answered Unanswered My Questions My Answers

JEE main - Physics

how to draw straight line graph and how to identify y-intercept and slope

Asked by Machinenineha | 27 Mar, 2024, 05:28: PM

ANSWERED BY EXPERT

JEE main - Physics

Asked by baskaranfathima83 | 21 Jan, 2024, 09:34: PM

ANSWERED BY EXPERT

JEE main - Physics

a body covers 1/3 part of its journey with a velocity of 2 m/s , next 1/3 part with a velocity of 3m/s and rest journey with a velocity 6m/s .The average velocity of the body will be

Asked by tripathiji9876good | 10 Jan, 2024, 04:22: PM

ANSWERED BY EXPERT

JEE main - Physics

if the leniar momentum is increased by 5%then the kinetic energy will be increased by

Asked by meenu0000156 | 05 Jan, 2024, 12:05: PM

ANSWERED BY EXPERT

JEE main - Physics

answer

Asked by myselfsnehu5577 | 29 Nov, 2023, 01:19: PM

ANSWERED BY EXPERT

JEE main - Physics

a boat moves with velocity which is n times less than the river flow velocity. At what angle to the stream direction must the boat move to minimize drifting. I din understand how dx/d theta=ud/v sec theta tan theta-d sec^2 theta like whr did the addition sec theta come from??? so pls explain tht

Asked by joanmaria916 | 17 Jul, 2023, 11:24: AM

ANSWERED BY EXPERT

JEE main - Physics

As shown in Figure, a bullet weighs 0.3 N and moving with a velocity of 400 m/sec hits centrally a 30 N block of wood moving away at 15 m/sec and gets embedded in it. Find the velocity of the bullet after the impact and the amount of kinetic energy lost.

Asked by theavengers0203 | 22 May, 2023, 11:54: PM

ANSWERED BY EXPERT

JEE main - Physics

physics questions

Asked by mc8may | 03 Apr, 2023, 03:41: PM

ANSWERED BY EXPERT

JEE main - Physics

An object moves from y = 12 m to y = 15 m in 5 s. What can be said about the magnitude of displacement and the path length?

Asked by khushpatel9579 | 16 Feb, 2023, 07:50: PM

ANSWERED BY EXPERT

JEE main - Physics

A particle start from rest and move along a straight line with uniform acceleration the ratio of time to cover successive distance in the ratio 1:3 is

Asked by yadavashishkryadav | 13 Jan, 2023, 08:38: AM

ANSWERED BY EXPERT

Please Login or Sign up to continue!

JEE Class main Answered

Choose Filters

Open In Ask A Doubt App ?

Get in Touch

Call / Whats App