Monday

October 20, 2014

October 20, 2014

Posted by **srikala** on Saturday, May 26, 2012 at 5:43am.

options

1. 5s,150 cm

2. 10s,150 cm

- physics -
**ajayb**, Saturday, May 26, 2012 at 9:01amAssume the particle's acceleration is a cm/sec^2 and that it moves a distance of S(t)cms in total time of t secs. Also it covers S(t-1) cms. in (t-1) secs.

Since it covers 6cm in the first second => 6 = 0.1 + (1/2).a.1^2 => a=12cm/sec^2.

Now, S(t)-S(t-1)= (1/2).a.[t^2-(t-1)^2]......(1)

Also, S(t)-S(t-1)= (9/25).S(t)= (9/25).(1/2).a.t^2 .....(2)

From the above two equations, you will get the following eqn.

9t^2-50t+25 = 0

Solve it to get two values for t i.e. t=5,10/18 (ignore the second as t is not less than 1sec)

Thus t=5sec and hence S(t)=150cm

Therefore,option (1) is correct.

=

**Answer this Question**

**Related Questions**

physics - A particle moving with a constant acceleration describes in the last ...

Calculus-particle motion - 1. A particle is moving on the x-axis (or any number ...

physics - 1.Give examples of a one-dimensional motion where (a) the particle ...

physics - Two particles A and B are in uniform circular motion about a common ...

Calculus, Related Rates - A particle at point A is 50 mm away from a second ...

Calculus - The position of a particle moving on a horizontal line is given by s(...

physics - Particle 1 is moving on the x-axis with an acceleration of 5.55 m/s2 ...

physics - Particle 1 is moving on the x-axis with an acceleration of 5.55 m/s2 ...

physics - A particle starts moving with acceleration 2 m/s2. distance travelled ...

physics - A particle of charge Q is fixed at the origin of an xy coordinate ...