Home
Class 11
PHYSICS
The speed (v) and time (t) for an object...

The speed (v) and time (t) for an object moving along straight line area related as `t^(2) + 100= 2vt` where v is in meter/second and t is second. Find the possible positive values of v.

Text Solution

Verified by Experts

For possible values of v, time t must be real from `b^(2) - 4ac ge 0`
we have `" "(-2v^(2))- 4(1) (100) ge 0 `
`rArr" "4v^(2) - 400 ge 0 " "rArr v^(2) -100 ge 0` ltBrgt `rArr" "(v-10)(v+10) ge 0 " "rArr v ge 10 and v le -10`
Hence possible positives values of v are `v ge 10 m//s`.
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise BEGINNER S BOX 1|2 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise BEGINNER S BOX 2|3 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

Similar Questions

Explore conceptually related problems

The speed (v) and time (t) for an object moving along straight line are related as t^(2)+100=2vt where v is in meter/second and t is in second. Find the possible positive values of v.

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 velocity v of a body moving along a straight line varies with time t as v=2t^(2)e^(-t) , where v is in m/s and t is in second. The acceleration of body is zero at t =

A particle moves along a straight line such that its position x at any time t is x=3t^(2)-t^(3) , where x is in metre and t in second the

The position of object moving along an x-axis is given by x=3t-4t^(2)+t^(3) , where x is in meters and t in seconds. Find the position of the object at the following values of t : (i) 2s, (ii) 4s, (iii) What is the object's displacement between t = 0 s and t = 4 s ? and (iv) What is its average vvelocity for the time interval from t = 2 s to t = 4 ?

The position of a particle moving along a straight line is defined by the relation, x=t^(3)-6t^(2)-15t+40 where x is in meters and t in seconds.The distance travelled by the particle from t=0 to t=2 s is?

The position of an object moving on a straight line is defined by the relation x=t^(3)-2t^(2)-4t , where x is expressed in meter and t in second. Determine (a) the average velocity during the interval of 1 second to 4 second. (b) the velocity at t = 1 s and t = 4 s, (c) the average acceleration during the interval of 1 second to 4 second. (d) the acceleration at t = 4 s and

The velocity function of an object moving along a straight line is given by v(t)=At^(2)+Bt . If at t=2s, the velocity is 3 m/s and acceleration is 0.500 m//s^(2) , find the value of the constant A.

The motion of a particle along a straight line is described by the function x=(2t -3)^2, where x is in metres and t is in seconds. Find (a) the position, velocity and acceleration at t=2 s. (b) the velocity of the particle at the origin .