Home
Class 11
PHYSICS
The distance covered by a particle in ti...

The distance covered by a particle in time t is given by `x=a+bt+ct^2+dt^3`, find the dimensions of a,b,c and d.

Text Solution

AI Generated Solution

To find the dimensions of the constants \( a, b, c, \) and \( d \) in the equation \( x = a + bt + ct^2 + dt^3 \), we will analyze the dimensions of each term in the equation. ### Step 1: Understand the equation The equation given is: \[ x = a + bt + ct^2 + dt^3 \] Here, \( x \) represents the distance covered by a particle, which has the dimension of length. ...
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO PHYSICS

    HC VERMA ENGLISH|Exercise Objective 1|6 Videos
  • INTRODUCTION TO PHYSICS

    HC VERMA ENGLISH|Exercise Objective 2|3 Videos
  • HEAT TRANSFER

    HC VERMA ENGLISH|Exercise QUESTIONS FOR SHORT ANSWER|11 Videos
  • KINETIC THEORY OF GASES

    HC VERMA ENGLISH|Exercise All Questions|106 Videos

Similar Questions

Explore conceptually related problems

The distance moved by the particle in time is given by x = t^3-12t^2+6t+8 . At the instant when its acceleration is zero, the velocity is (a) 42 (b) -42 (c) 48 (d) -48

For a body in a uniformly accelerated motion, the distance of the body from a reference point at time 't' is given by x = at + bt^2 + c , where a, b , c are constants. The dimensions of 'c' are the same as those of (A) x " " (B) at " " (C ) bt^2 " " (D) a^2//b

A force F is given by F = at+ bt^(2) , where t is time. The dimensions of a and b are

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b, c are respectively :-

A car starts from a point P at time t = 0 seconds and stops at point Q. The distance x, in metres, covered by it, in t seconds is given by x=t^2(2-t/3) Find the time taken by it to reach Q and also find distance between P and Q.

The distance covered by an object (in meter) is given by s=8 t^(3)-7t^(2)+5t Find its speed at t = 2 s.

The position of a particle as a function of time t, is given by x(t)=at+bt^(2)-ct^(3) where a,b and c are constants. When the particle attains zero acceleration, then its velocity will be :

The displacement of a particle is given by y = a + bt + ct^2 - dt^4 . The initial velocity and acceleration are respectively.

The displacement of a moving particle is given by, x=at^3 + bt^2 +ct + d . The acceleration of particle at t=3 s would be

The velocity upsilon of a particle depends upon time t, according to the equation upsilon = a+ bt +(c )/(d +t) Write the dimensions of a,b,c, and d.