The displacement (x) - time (t) graph of a pa | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The slope of the displacement-time graph represents the velocity of the particle,i.e.,$v = \frac{dx}{dt}$.At $t = 0$,the graph starts from the ori

Vedclass · Accepted Answer

Particle starts with zero velocity and variable acceleration

Vedclass · Answer

(A) The slope of the displacement-time graph represents the velocity of the particle,i.e.,$v = \frac{dx}{dt}$.At $t = 0$,the graph starts from the origin $(0, 0)$ and the tangent to the curve at the origin is horizontal (parallel to the $t$-axis).Since the slope of the tangent at $t = 0$ is zero,the initial velocity of the particle is zero.As time increases,the slope of the curve changes continuously,which implies that the velocity is changing with time.Since the velocity is changing with time,the particle is undergoing acceleration.Because the slope (velocity) is not changing at a constant rate (the curvature of the graph is not parabolic),the acceleration is variable.Therefore,the particle starts with zero velocity and variable acceleration.

The displacement $(x)$ - time $(t)$ graph of a particle is shown in the figure. Which of the following is correct?

Similar Questions

If a steel ball is dropped from a height onto a marble floor,what will the velocity-time graph look like?

The graph of an object's motion (along the $x-$ axis) is shown in the figure. The instantaneous velocity of the object at points $A$ and $B$ are $v_A$ and $v_B$ respectively. Then

The acceleration versus velocity graph of a particle moving in a straight line,starting from rest,is as shown in the figure. The corresponding velocity-time graph would be:

$A$ car starts from rest and travels with uniform acceleration $\alpha$ for some time and then with uniform retardation $\beta$ and comes to rest. If the total travel time of the car is $t$,the maximum velocity attained by it is given by:

The figure shows a velocity-time graph of a particle moving along a straight line. The total distance travelled by the particle is ........ $m$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module