Student Login

Home›Chapters›Motion in One Dimension PYQs›Velocity, Acceleration & Variable Motion›Question 33

NEET 2016 (Phase 1) · Velocity, Acceleration & Variable Motion

Velocity, Acceleration & Variable Motion question from NEET 2016 (Phase 1)

Q33NEET 2016 · PHASE 1Easy

Velocity, Acceleration & Variable Motion

If the velocity of a particle is v = At + Bt2, where A and B are constants, then the distance travelled by it between 1 s and 2 s is

Show answer and solution

Answer: (a)

$v > 0$ for $t$ between 1 s and 2 s (A, B positive), so distance $= \int_1^2 v\,dt$
$\int_1^2 (At + Bt^2)\,dt = \dfrac{A}{2}(4 - 1) + \dfrac{B}{3}(8 - 1)$
$= \dfrac{3}{2}A + \dfrac{7}{3}B$
So the answer is (a).

Report a mistake

More questions on Velocity, Acceleration & Variable Motion

A particle of unit mass undergoes one-dimensional motion such that its velocity varies…NEET 2015 (AIPMT, Cancelled Paper)
The displacement 'x' (in meter) of a particle of mass 'm' (in kg) moving in one dimension…NEET 2013
The motion of a particle along a straight line is described by equation x = 8 + 12t - t3…NEET 2012 (AIPMT, Prelims)
An object, moving with a speed of 6.25 m/s, is decelerated at a rate given by: dv/dt =…JEE Main 2011 (AIEEE)
A particle moves a distance x in time t according to equation x = (t + 5) ⁻¹. The…NEET 2010 (AIPMT, Prelims)
The velocity of a particle is v = v0 + gt + ft2. If its position is x = 0 at t = 0, then…JEE Main 2007 (AIEEE)
The position x of a particle with respect to time t along x-axis is given by x = 9t2 - t3…NEET 2007 (AIPMT)
A particle moving along x-axis has acceleration f, at time t, given by f = f0 (1 - t/T)…NEET 2007 (AIPMT)