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

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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.

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

The velocity$-$time graph of a car is given below. The car weighs $1000\, kg$.

$(i)$ What is the distance travelled by the car in the first $2$ seconds ?

$(ii)$ What is the braking force at the end of $5$ seconds to bring the car to a stop within one second ?

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"The direction in which an object moves is given by the direction of velocity of the object and not by the direction of acceleration". Give an example to justify this statement

easy

The area under the velocity$-$time graph gives the value of

easy

When is the acceleration $(i)$ positive $(ii)$ negative ?

medium

The velocity-time graph of cars $A$ and $B$ which start from the same place and move along a straight road in the same direction is shown below

Calculate :

$(a)$ the acceleration of car $B$ between $2 \,s$ and $4\, s$.

$(b)$ the time at which both the cars have the same velocity.

$(c)$ the distance travelled by the two cars $A$ and $B$ in $8\, s$

$(d)$ Which of the two cars is ahead after $8\, s$ and by how much ?

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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.

Solution

Similar Questions

The velocity$-$time graph of a car is given below. The car weighs $1000\, kg$. $(i)$ What is the distance travelled by the car in the first $2$ seconds ? $(ii)$ What is the braking force at the end of $5$ seconds to bring the car to a stop within one second ?

"The direction in which an object moves is given by the direction of velocity of the object and not by the direction of acceleration". Give an example to justify this statement

The area under the velocity$-$time graph gives the value of

When is the acceleration $(i)$ positive $(ii)$ negative ?

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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.

The velocity$-$time graph of a car is given below. The car weighs $1000\, kg$.

$(i)$ What is the distance travelled by the car in the first $2$ seconds ?

$(ii)$ What is the braking force at the end of $5$ seconds to bring the car to a stop within one second ?