When the displacement of a body is directly proportional to the square of the time then the body is moving with uniform acceleration?

Answer: (b) uniform acceleration When the rate of change of velocity with time of a body is constant then the object is said to be uniformly accelerated or in other words in uniform acceleration, the displacement of an object is proportional to square of time.

When the displacement of a body is directly proportional to the square of the time?

Assertion : When the displacement of a body is directly proportional to the square of the time, then the body is moving with uniform acceleration. Reason : The slope of velocity-time graph with time axis gives acceleration.

How is velocity proportional to distance?

3.1 Introducing proportionality The average velocity is calculated as the distance travelled, d divided by the time taken, t. If the time taken is kept fixed, but I travel at a higher velocity, I will travel further (d is greater). We can say that the velocity is directly proportional to the distance travelled.

When displacement of a body is directly proportional to?

It is given that the displacement of a body is proportional to the square of time.

Which of the following statement is correct regarding the velocity and speed of a moving body?

The correct statement is Velocity of a moving body is its speed in a given direction.

What happens to displacement when velocity increases?

For a constant velocity the displacement increases by a fixed amount in each unit of time, and this varies as the value of the velocity changes. If the velocity is increasing then the increments will increase – a concave curve.

Is velocity directly proportional to force?

No, force is not proportional to velocity but it is proportional to change in velocity w.r.t. time. According to second law of motion, force os directly proportional to rate of change of momentum,if mass is constant again force is directly proportional to change in velocity w.r.t. time.

Is distance directly proportional to velocity squared?

Yes,displacement is directly proportional to velocity if time is constant.

Why is s square directly proportional?

Answer:S is directly proportional to t^ Were acceleration is constant . hence object moves with uniform motion. Thus,the object moves with uniform acceleration.

Is the displacement of a body proportional to the square of time?

Acceleration (a) = d v d t = 2 k = constant. So, the motion of body is constant acceleration. Originally Answered: If the displacement of a body is proportional to the square of time, state the nature motion of the body? Here, displacement,s=kt^2, where k is constant of proportionality. The body starts from rest. Velocity,v=ds/dt=2kt.

What is the relationship between acceleration and distance in straight line motion?

In a straight line motion, the distance travelled is proportional to the square root of the time taken. The acceleration of the particle is proportional to POPULAR CHAPTERS BY CLASS class 5

How to prove that the body is moving with uniformly accelerated motion?

If the displacement of an object is proportional to the square of the time taken then the body is moving with uniformly accelerated motionas it will follow Newton’s second equation of motion for a particular initial velocity, which can be given by, s=ut+21​at2. Was this answer helpful? 0 0 Similar questions

What do you mean by uniform acceleration?

uniform acceleration When the rate of change of velocity with time of a body is constant then the object is said to be uniformly accelerated. Or in other words in uniform acceleration, the displacement of an object is proportional to square of time. Answer verified by Toppr