Question on motion in a straight line

In summary, the question asks for the relation between velocity and acceleration of a particle moving in the positive x-axis with the given relation v = x^2. The options provided are A) 8x^2 B) 8x^3 C) 4x^2 D) 4x^3. The hint given is to use the equations a = dv/dt and v = dx/dt and the chain rule to find the answer. The student is reminded to show their attempt at differentiation and to have a basic understanding of velocity and acceleration.
  • #1
Vishesh1999
2
0

Homework Statement



The velocity of a particle moving in positive x-axis is according to the relation v= x^2 , then it's acceleration is
A) 8x^2
B) 8x^3
C) 4x^2
D) 4x^3

Homework Equations

The Attempt at a Solution

 
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  • #2
What is the relation between velocity and acceleration ?
 
  • #3
That's it of the question.
I'm pretty confused... I tried differentiation as well
 
  • #4
Hint : a = dv/dt and v = dx/dt .

dv/dx = ?
a in terms of v and x ?
 
  • #5
Show us your attempt at differentiation.
 
  • #6
First, if you have read the sections you were supposed to have read when you registered, you would know that you must show what you have tried! Second, does it not bother you at all that you are asked a problem about "velocity" and "acceleration" and tell us that you do not know what those words mean! I would expect you, if you are expected to be able to do problems like this, to know that velocity is "the rate of change of position with respect to time"- that is, v= dx/dt. You should also know that acceleration is "the rate of change of velocity with respect to time"- that is a= dv/dt.

That is the physics of the situation. You will also need to know some mathematics: the chain rule- If y is a function of x, y(x), and x is a function of t, x(t), then y is also a function of t and dy/dt= (dy/dx)(dx/dt).
 
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FAQ: Question on motion in a straight line

1. What is motion in a straight line?

Motion in a straight line is the movement of an object along a path that does not deviate from a straight line. It is a basic type of motion that is often used to describe the movement of objects in physics.

2. What is the difference between speed and velocity in motion in a straight line?

Speed is a measure of how fast an object is moving, while velocity is a measure of both the speed and direction of an object's motion. In motion in a straight line, speed can be calculated by dividing the distance traveled by the time it took to travel that distance, while velocity can be calculated by dividing the displacement (change in position) by the time it took.

3. How does acceleration play a role in motion in a straight line?

Acceleration is the rate of change of an object's velocity, and it plays a role in motion in a straight line by causing a change in an object's speed or direction of motion. An object can accelerate in a straight line by either increasing or decreasing its speed, or by changing its direction of motion.

4. What is the difference between average and instantaneous velocity in motion in a straight line?

Average velocity is the total displacement divided by the total time, while instantaneous velocity is the velocity at a specific moment in time. In motion in a straight line, average velocity can be calculated using the entire distance and time of the motion, while instantaneous velocity can only be calculated at a specific point in time.

5. How does displacement differ from distance in motion in a straight line?

Displacement is the change in an object's position, while distance is the total length of the path traveled by an object. In motion in a straight line, displacement can be positive, negative, or zero, while distance is always positive. Displacement takes into account the direction of motion, while distance does not.

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