The speed v of a particle moving along a...

The speed `v` of a particle moving along a straight line is given by `a+bv^(2)=x^(2)`, where `x` is its distance from the origin. The acceleration of the particle is

A

bx

B

`x//a`

C

`x//b`

D

`x//ab`

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

APPLICATIONS OF DERIVATIVES
TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
APPLICATIONS OF DERIVATIVES
TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos
APPICATIONS OF DEFINITE INTEGRAL
TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
BINOMIAL DISTRIBUTION
TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

The displacement of a particle moving in a straight line, is given by s = 2t^2 + 2t + 4 where s is in metres and t in seconds. The acceleration of the particle is.

The displacement x of a particle at time t moving along a straight line path is given by x^(2) = at^(2) + 2bt + c where a, b and c are constants. The acceleration of the particle varies as

The speed(v) of a particle moving along a straight line is given by v=(t^(2)+3t-4 where v is in m/s and t in seconds. Find time t at which the particle will momentarily come to rest.

The displacement 'x' of a particle moving along a straight line at time t is given by x=a_(0)+a_(1)t+a_(2)t^(2) . The acceleration of the particle is :-

If a particle is moving along straight line with increasing speed, then

The distance traversed by a particle moving along a straight lne is given by x = 180t+50t^(2) metre. The acceleration of the particle is

The speed v of a particle moving along a straight line, when it is at a distance (x) from a fixed point of the line is given by v^2=108-9x^2 (all equation are in CGS units):

The acceleration of a particle moving along a straight line at any time t is given by a = 4 - 2v, where v is the speed of particle at any time t The maximum velocity is

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING

The law of motion of a body moving along a straight line is x=1/2vt, x...
Text Solution
|
A particle moves so that s=6+48t-t^3. The direction of motion reverses...
Text Solution
|
The speed v of a particle moving along a straight line is given by a+b...
Text Solution
|
A man of height 1.8 metre is moving away from a lamp post at the rate ...
Text Solution
|
A 10cm long rod AB moves with its ends on two mutually perpendicular s...
Text Solution
|
A ladder 5 m in length is resting against vertical wall. The bottom of...
Text Solution
|
A ladder 20 ft long leans against a vertical wall. The top end slides ...
Text Solution
|
The rate of change of surface area of a sphere of radius r when the ra...
Text Solution
|
If by dropping a stone in a quiet lake a wave moves in circle at a ...
Text Solution
|
The sides of an equilateral triangle are increasing at the rate of ...
Text Solution
|
Given two squares of sides x and y such that y=x+x^(2) what is the rat...
Text Solution
|
A container is in the shape of an inverted cone. Its height is 6 m and...
Text Solution
|
IF the volume of a spherical balloon is increasing at the rate of 900c...
Text Solution
|
A spherical balloon is being inflated so that its volume increase unif...
Text Solution
|
If the volume of spherical ball is increasing at the rate of 4pi" cc/s...
Text Solution
|
A spherical balloon is being inflated at the rate of 35 cc/min. The ra...
Text Solution
|
A spherical balloon is filled with 4500p cubic meters of helium gas...
Text Solution
|
The rate of change of volume of a sphere with respect to its surface a...
Text Solution
|
The weight W of a certain stock of fish is given by W = nw, where n is...
Text Solution
|
The point on the curve 6y =x ^(3)+2 at which y- co ordinate is ...
Text Solution
|