State which of the following situations are possible and give an example for each of these:
$(a)$ An object with a constant acceleration but with zero velocity.
$(b)$ An object moving with an acceleration but with uniform speed.
$(c)$ An object moving in a certain direction with an acceleration in the perpendicular direction.
$(a)$ An object with a constant acceleration but with zero velocity.
$(b)$ An object moving with an acceleration but with uniform speed.
$(c)$ An object moving in a certain direction with an acceleration in the perpendicular direction.
(N/A) Possible.
When a ball is thrown vertically upwards,at its maximum height,its velocity is zero,but it still experiences a constant acceleration due to gravity $(g = 9.8\,m/s^2)$ acting downwards.
$(b)$ Possible.
When an object moves in a circular path with a uniform speed,its velocity changes continuously due to the change in direction. This change in velocity results in a centripetal acceleration directed towards the center of the circle.
$(c)$ Possible.
An object moving in a circular path is a classic example. The velocity of the object is tangential to the path,while the centripetal acceleration acts towards the center of the circle,which is perpendicular to the direction of motion.
When a ball is thrown vertically upwards,at its maximum height,its velocity is zero,but it still experiences a constant acceleration due to gravity $(g = 9.8\,m/s^2)$ acting downwards.
$(b)$ Possible.
When an object moves in a circular path with a uniform speed,its velocity changes continuously due to the change in direction. This change in velocity results in a centripetal acceleration directed towards the center of the circle.
$(c)$ Possible.
An object moving in a circular path is a classic example. The velocity of the object is tangential to the path,while the centripetal acceleration acts towards the center of the circle,which is perpendicular to the direction of motion.
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Similar Questions
$(a)$ Define uniform circular motion.
$(b)$ Ram goes for a morning walk in a circular park daily. He completes one revolution of the park in $4$ minutes. Find his speed if the diameter of the park is $420\, m$.
$(c)$ Draw velocity$-$time graph for uniform motion along a straight line. How can you find the distance covered by a body from this graph?
$(b)$ Ram goes for a morning walk in a circular park daily. He completes one revolution of the park in $4$ minutes. Find his speed if the diameter of the park is $420\, m$.
$(c)$ Draw velocity$-$time graph for uniform motion along a straight line. How can you find the distance covered by a body from this graph?
Medium
View SolutionWhat does the odometer of an automobile measure? Which of the following is moving faster? Justify your answer.
$(i)$ $A$ scooter moving with a speed of $300 \, m$ per minute.
$(ii)$ $A$ car moving with a speed of $36 \, km$ per hour.
$(i)$ $A$ scooter moving with a speed of $300 \, m$ per minute.
$(ii)$ $A$ car moving with a speed of $36 \, km$ per hour.
Medium
View SolutionAccount for the following:
$(a)$ Name the quantity which is measured by the area occupied below the velocity$-$time graph.
$(b)$ Give an example of an object moving in a certain direction with acceleration in the perpendicular direction.
$(c)$ Under what condition is the magnitude of average velocity of an object equal to its average speed?
$(d)$ Give an example of uniformly accelerated motion.
$(e)$ $A$ body is moving along a circular path of radius $r$. What will be the distance and displacement of the body when it completes half a revolution?
$(a)$ Name the quantity which is measured by the area occupied below the velocity$-$time graph.
$(b)$ Give an example of an object moving in a certain direction with acceleration in the perpendicular direction.
$(c)$ Under what condition is the magnitude of average velocity of an object equal to its average speed?
$(d)$ Give an example of uniformly accelerated motion.
$(e)$ $A$ body is moving along a circular path of radius $r$. What will be the distance and displacement of the body when it completes half a revolution?
Medium
View SolutionAn object is moving along a straight line with uniform acceleration. The following table gives the velocity of the object at various instants of time.
Time $(s)$ $0$ $1$ $2$ $3$ $4$ $5$ $6$ Velocity $(m s^{-1})$ $2$ $4$ $6$ $8$ $10$ $12$ $14$
Plot the graph.
From the graph:
$(i)$ Find the velocity of the object at the end of $2.5 \ s$.
$(ii)$ Calculate the acceleration.
$(iii)$ Calculate the distance covered in the last $4 \ s$.
| Time $(s)$ | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ |
| Velocity $(m s^{-1})$ | $2$ | $4$ | $6$ | $8$ | $10$ | $12$ | $14$ |
Plot the graph.
From the graph:
$(i)$ Find the velocity of the object at the end of $2.5 \ s$.
$(ii)$ Calculate the acceleration.
$(iii)$ Calculate the distance covered in the last $4 \ s$.
Medium
View SolutionIn the following cases,identify the direction of the net force acting on the objects:
$(a)$ $A$ car drives around a circular race track at a constant speed.
$(b)$ Earth moving around the sun.
$(c)$ $A$ ball,rolling across a grassy field,slowly comes to a stop.
$(a)$ $A$ car drives around a circular race track at a constant speed.
$(b)$ Earth moving around the sun.
$(c)$ $A$ ball,rolling across a grassy field,slowly comes to a stop.
Medium
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