Out of three speed - time graphs shown below Identify graph for following cases. (i) A ball thrown v

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7. MOTION

medium

Out of the three speed$-$time graphs shown below

Identify the graph for the following cases.

$(i)$ A ball thrown vertically upwards and returning to the hand of the thrower ?

$(ii)$ A body decelerating to a constant speed and accelerating.

Option A

Option B

Option C

Option D

Solution

$(i)$ Graph $(a)$ shows that the speed of a body decreases with time becomes zero and then again starts increasing. This graph, therefore, represents the case of a ball thrown vertically upwards and then caught by the thrower. Initially, the ball is thrown with some speed. As the ball rises up its speed decreases at a constant rate, becomes and zero at maximum height. The ball then falls with a uniform acceleration till its speed becomes equal to speed of projection.

$(ii)$ Graph $(c)$ represents deceleration of the body to some constant speed, and then accelerating after sometime.

Standard 9

Science

A cyclist travels a distance of $4\, km$ from $P$ to $Q$ and then moves a distance of $3\, km$ right angle to $PQ$. Find his resultant displacement graphically.

easy

The direction of acceleration of an object moving in a circular path is

medium

Derive the equation $v^{2}-u^{2}=2 a S$ graphically.

hard

$(a)$ Derive second equation of motion $S=u t+\frac{1}{2} a t^{2}$ graphically where the symbols have their usual meanings.

$(b)$ A car accelerates uniformly from $18\, km h ^{-1}$ to $36\, km h^{-1}$ in $5$ seconds. Calculate the acceleration and the distance covered by the car in that time.

hard

Give examples to distinguish

$(i)$ Distance and displacement.

$(ii)$ Speed and velocity.

$(iii)$ Acceleration and retardation.

medium

Out of the three speed$-$time graphs shown below Identify the graph for the following cases. $(i)$ A ball thrown vertically upwards and returning to the hand of the thrower ? $(ii)$ A body decelerating to a constant speed and accelerating.

Solution

Similar Questions

A cyclist travels a distance of $4\, km$ from $P$ to $Q$ and then moves a distance of $3\, km$ right angle to $PQ$. Find his resultant displacement graphically.

The direction of acceleration of an object moving in a circular path is

Derive the equation $v^{2}-u^{2}=2 a S$ graphically.

$(a)$ Derive second equation of motion $S=u t+\frac{1}{2} a t^{2}$ graphically where the symbols have their usual meanings. $(b)$ A car accelerates uniformly from $18\, km h ^{-1}$ to $36\, km h^{-1}$ in $5$ seconds. Calculate the acceleration and the distance covered by the car in that time.

Give examples to distinguish $(i)$ Distance and displacement. $(ii)$ Speed and velocity. $(iii)$ Acceleration and retardation.

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Out of the three speed$-$time graphs shown below

Identify the graph for the following cases.

$(i)$ A ball thrown vertically upwards and returning to the hand of the thrower ?

$(ii)$ A body decelerating to a constant speed and accelerating.

$(a)$ Derive second equation of motion $S=u t+\frac{1}{2} a t^{2}$ graphically where the symbols have their usual meanings.

$(b)$ A car accelerates uniformly from $18\, km h ^{-1}$ to $36\, km h^{-1}$ in $5$ seconds. Calculate the acceleration and the distance covered by the car in that time.

Give examples to distinguish

$(i)$ Distance and displacement.

$(ii)$ Speed and velocity.

$(iii)$ Acceleration and retardation.