Velocity - time graph ? State how it can be used to find (i) acceleration of a body, (ii) displaceme

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hard

What is velocity$-$time graph ? State how it can be used to find

$(i)$ the acceleration of a body,

$(ii)$ the displacement of the body,

$(iii)$ the distance travelled in a given time.

Option A

Option B

Option C

Option D

Solution

In the velocity-time graph, time is taken along the $x-$axis and velocity is taken along the $y-$ axis.

$(i)$ Since acceleration $=$ Change in velocity $/$ Time. Therefore, the slope of the velocitytime graph gives the acceleration. If the slope is positive, it is accelerated motion and if the slope is negative, the motion is retarded.

$(ii)$ Since velocity $\times$ time $=$ displacement. The area enclosed above the time axis represents positive displacement and the area enclosed below the time axis represents negative displacement. The total displacement is obtained by adding them numerically with proper sign.

$(iii)$ The total distance travelled by the body is their arithmetic sum (without sign).

Standard 9

Science

Draw velocity-time graphs for the following situations

$(i)$ When body is moving with uniform velocity.

$(ii)$ When body is moving with variable velocity, but uniform acceleration.

$(iii)$ When body is moving with variable velocity, but uniform retardation.

$(iv)$ When body is moving with a variable velocity and variable acceleration.

medium

Two cars $A$ and $B$ have their displacement$-$time graph as given below. Which car has a greater velocity ?

medium

Write true or false for the following statements

Velocity and speed are measured in different units.

easy

A circular cycle track has a circumference of $314\, m$ with $A B$ as one of its diameter. $A$ cyclist travels from $A$ to $B$ along the circular path with a velocity of constant magnitude $15.7\, m s ^{-1}$. Find the

$(a)$ distance moved by the cyclist.

$(b)$ displacement of the cyclist, if $A B$ represents north$-$south direction.

$(c)$ the average velocity of the cyclist.

medium

Write true or false for the following statements

A motion is said to be uniform, if $x \propto t^{2}$

easy

What is velocity$-$time graph ? State how it can be used to find $(i)$ the acceleration of a body, $(ii)$ the displacement of the body, $(iii)$ the distance travelled in a given time.

Solution

Similar Questions

Two cars $A$ and $B$ have their displacement$-$time graph as given below. Which car has a greater velocity ?

Write true or false for the following statements Velocity and speed are measured in different units.

Write true or false for the following statements A motion is said to be uniform, if $x \propto t^{2}$

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What is velocity$-$time graph ? State how it can be used to find

$(i)$ the acceleration of a body,

$(ii)$ the displacement of the body,

$(iii)$ the distance travelled in a given time.

Write true or false for the following statements

Velocity and speed are measured in different units.

Write true or false for the following statements

A motion is said to be uniform, if $x \propto t^{2}$