Home
Class 9
PHYSICS
Write three equations of uniformly accel...

Write three equations of uniformly accelerated motion relating the initial velocity (u), final velocity (v), time (t), acceleration (a) and displacement (S).

Text Solution

AI Generated Solution

To derive the three equations of uniformly accelerated motion, we will relate the initial velocity (u), final velocity (v), time (t), acceleration (a), and displacement (S). ### Step-by-Step Solution: 1. **First Equation: v = u + at** - This equation relates the final velocity (v) of an object to its initial velocity (u), the acceleration (a), and the time (t) for which the object has been accelerating. - **Derivation**: - Start with the definition of acceleration: ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MOTION IN ONE DIMENSION

    ICSE|Exercise EXERCISE -2 (C) ( Multiple choice type :) |17 Videos

  • MOTION IN ONE DIMENSION

    ICSE|Exercise EXERCISE -2 (B) ( Numericals ) |12 Videos

  • MEASUREMENTS AND EXPERIMENTATION

    ICSE|Exercise TOPIC 2 SIMPLE PENDULUM (4 Marks Questions ) |1 Videos

  • PRESSURE IN FLUIDS AND ATMOSPHERIC PRESSURE

    ICSE|Exercise Exercise -4(B)Numericals|5 Videos

Similar Questions

Explore conceptually related problems

If acceleration a(t) = 3t^(2) and initial velocity u=0 m/s , then the velocity of the particle after time t=4 s

A particle starts from origin with uniform acceleration. Its displacement after t seconds is given in meter by the relation x=2+5t+7t^2 . Calculate the magnitude of its a. Initial velocity b. Velocity at t=4s c. Uniform acceleration d. Displacement at t=5s

Knowledge Check

  • A body moving with some initial velocity and having uniform acceleration attains a final velocity v m/s after travelling x m. If its final velocity is v = sqrt (180 - 7x) , find the acceleration of the body.

    A
    `- 3.5 m//s^(2)`
    B
    `-7m//s^(2)`
    C
    `-15 m//s^(2)`
    D
    `-30 m//s^(2)`

    • Similar Questions

    Explore conceptually related problems

    Draw velocity – time graph of uniformly accelerated motion in one dimension. From the velocity – time graph of uniform accelerated motion, deduce the equations of motion in distance and time.

    A particle starts with some initial velocity with an acceleration along the direction of motion. Draw a graph depicting the variation of velocity (v) along y-axis with the variation of displacement(s) along x-axis.

    Which relations are always correct in between the displacement (vecx) velocity (vecv) and acceleration (veca) for a simple harmonic motion ?

    In uniformly accelerated motion the following equations hold : V=Vo + at X=Vot + 1//2 at^2 When X = displacement , V=Velocity at time, Vo= initial velocity, t=time , and a =acceleration. A ball is projected directly upward at a velocity of 15 m/sec. What is Its velocity afer 3 seconds ?

    A particle is moving along x-direction with a constant acceleration a. The particle starts from x=x_0 position with initial velocity u. We can define the position of the particle with time by the relation x=x_0+ut+(1)/(2)at^2 plot the position of the particle in relation with time is following situations (i) If initial position of the particle is on negativ x-axis, initial velocity is positive and acceleration is negative. (ii) If initial position is positive, initial velocity is negative and acceleration is positive.

    A particle is projected in such a way that it follows a curved path with constant acceleration vec(a) . For finite interval of motion. Which of the following option (s) may be correct : vec(u)= initial velocity vec(a)= acceleration of particle vec(v)= velocity at tgt0

    Following are three equations of motion S(g)=ut+(1)/(2)at^(2) v(s)=sqrt(u^(2)+2as) v(t)=u+at Where ,S,u,t,a,v are respectively the displacement ( dependent variable ) , initial ( constant ) , time taken ( independent variable ) , acceleration ( constant ) and final velocity ( dependent variable ) of the particel after time t . Find the displacement of the particle when its velocity becomes 10m//s if acceleration is 5m//s^(2) all through -

    Home
    Profile