Home
Class 11
PHYSICS
A particle is moving in a straight line ...

A particle is moving in a straight line with initial velocity `u` and uniform acceleration `f`. If the sum of the distances travelled in `t^(th) and (t + 1)^(th)` seconds is `100 cm`, then its velocity after `t` seconds, in `cm//s`, is.

A

20

B

30

C

50

D

80

Text Solution

Verified by Experts

The correct Answer is:
C
`S_(1)+S_(t+1)=100`
`u+(1)/(2)f(2t-1)+u+(1)/(2)f[2(t+1)-1]=100`
`2u+(1)/(2)f(2t-1+2t+1)=100`
`2u+2ft=100`
`u=ft=50`
`v=50cm//s`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise Dpp no 11 physics|6 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise Compreshension|6 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise DPP no 9 physics|10 Videos

  • CURRENT ELECTRICITY

    RESONANCE|Exercise Exercise|54 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE|Exercise Advanced Level Problems|9 Videos

Similar Questions

Explore conceptually related problems

A particle moves in a straight line as s =alpha(t-4)+beta(t-4)^(2) . Find the initial velocity and acceleration.

A particle is moving with initial velocity 1m/s and acceleration a=(4t+3)m/s^(2) . Find velocity of particle at t=2sec .

Knowledge Check

  • A particle is moving along straight line with initial velocity +7m//sec and uniform acceleration -2m//sec^(2) . The distance travlled by the particle in 4th second of its motion is:

    A
    `0`
    B
    `0.25m`
    C
    `0.5m`
    D
    `7m`

  • If a body moving with an initial velocity of 3 m/s and an acceleration of 2 m//s^2 . Then what will be the distance travelled by the body in 4th second.

    A
    6 m
    B
    7 m
    C
    10 m
    D
    28 m

  • A particle is moving in a straight line under constant acceleration of 4 m//s^(2) . If its velocity at t=0 is 10 m//s, the displacement of particle in the 5^(th) second of its motion is

    A
    `28 m`
    B
    `100 m`
    C
    `34 m`
    D
    `50 m`

    • Similar Questions

    Explore conceptually related problems

    A particle moves rectilinearly with initial velocity u and constant acceleration a. Find the average velocity of the particle in a time interval from t=0 to t=t second of its motion.

    A particle moves in a straight line with a uniform acceleration a. Initial velocity of the particle is zero. Find the average velocity of the particle in first 's' distance.

    A particle moves in a straight line with a constant acceleration. It passing through a distance 135 m in t second. The value of t (in second) is

    The initial velocity of a body moving along a straight lines is 7m//s . It has a uniform acceleration of 4 m//s^(2) the distance covered by the body in the 5^(th) second of its motion is-

    A particle with initial velocity u is moving with uniform acceleration (a). The distance moved by the particle in the t^(th) second is given by S=u+(1)/(2)a(2t-1) The dimensions of S must be

    Home
    Profile