A particle is moving in a striaght line ...

A particle is moving in a striaght line according as `S=15t+6t^2-t^3`, then the time it will come to rest is

`-18 sec`

10 sec

5 sec

`-5 sec`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

APPLICATIONS OF DERIVATIVES
TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos
APPLICATIONS OF DERIVATIVES
TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
APPLICATIONS OF DERIVATIVES
TARGET PUBLICATION|Exercise EVALUATION TEST|20 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

A particle is moving in a straight line according as s=45t+11t^2-t^3 then the time when it come to rest is

A particle is moving in a striaght line and at a given time, its displacement is S = t^(3) - 6t^(2) + 9t , where t is in seconds and S is in meter . The total distance travelled by the particle during the first five seconds is

A particle is moving in a straight line. At time t the distance between the particle from its starting point is given by x=t-6t^(2)+t^(3) . Its acceleration will be zero at

If a particle moves according to the law s=6t^(2)-(t^(3))/(2) , then the time at which it is momentarily at rest is

If S=6t^(2)-t^(3) , then the body comes to rest after time t=

Particle is moving in a straight line. Distance x is related to the time t by the equation t=sqrt(x)+3 . Distance x is measured in metres and time t is seconds. After how many seconds will the particle come to the rest?

The displacement of a particle moving in a straight line is given by s=t^(3)-6t^(2)+3t+4 meters.The velocity when acceleration is zero is "

A particle is moving along a straight line OX, At a time t (in seconds) the distance x (in metres) of particle from point O is given by x=10+6t-3t^(2) . How long would the particle travel before coming to rest?

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-CRITICAL THINKING

If the curves y= a^(x) and y=e^(x) intersect at and angle alpha, " th...
Text Solution
|
The distance in seconds, described by a particle in t seconds is given...
Text Solution
|
A particle is moving in a striaght line according as S=15t+6t^2-t^3, t...
Text Solution
|
A particle moves in a straight line so that s=sqrt(t), then its accele...
Text Solution
|
A particle moves a distance x in time t according to equation x^(2) = ...
Text Solution
|
IF the radius of a circle increases from 3 cm to 3.2 cm, then the incr...
Text Solution
|
The length of the side of a square sheet of metal is increasing at the...
Text Solution
|
If a spherical balloon has a variable diameter (3x+9//2)., then the ra...
Text Solution
|
If the radius of a circle be increasing at a uniform rate of 2cms^(-1)...
Text Solution
|
Gas is being pumped into a a spherical balloon at the rate of 30 ft^(3...
Text Solution
|
The edge of a cube is increasing at the rate of 5cm//sec. How fast is ...
Text Solution
|
If the edge of a cube increases at the rate of 60cm per second, at wha...
Text Solution
|
A spherical iron ball 10cm in radius is coated with a layer of ice of ...
Text Solution
|
The diagonal of square is changing at the rate of 0.5 cms^(-1). Then t...
Text Solution
|
2 m ऊंचाई का आदमी 6 m ऊंचे बिजली के खंभे से दूर 5 km/h की समान चाल स...
Text Solution
|
A ladder of length 17m rests with one end agains a vertical wall and t...
Text Solution
|
A kite is moving horizontally at a height of 151.5 m. If the speed of ...
Text Solution
|
A ladder 20 ft long has one end on the ground and the other end in con...
Text Solution
|
Find the approximate values of : f(x)=x^(3)-3x+5" at "x=1.99.
Text Solution
|
Find approximate value of 1/(sqrt(25. 1)) using differentials.
Text Solution
|