Four speed-time graphs are shown below. Which graph represents 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 then accelerating.
$(i)$ $A$ ball thrown vertically upwards and returning to the hand of the thrower.
$(ii)$ $A$ body decelerating to a constant speed and then accelerating.
(A) $(i)$ Graph $(a)$ represents this case. The ball starts with an initial velocity,experiences constant retardation due to gravity,and its velocity decreases to become zero at the highest point. Thereafter,the ball falls down,and its velocity increases in the opposite direction until it returns to the hand.
$(ii)$ Graph $(d)$ represents the case of a body decelerating (decreasing speed) to a constant speed and then accelerating (increasing speed).
$(ii)$ Graph $(d)$ represents the case of a body decelerating (decreasing speed) to a constant speed and then accelerating (increasing speed).
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Similar Questions
$A$ piece of stone is thrown vertically upwards. It reaches its maximum height in $3 \ s$. If the acceleration of the stone is $9.8 \ m s^{-2}$ directed towards the ground,calculate the initial velocity of the stone with which it is thrown upwards. Find the maximum height attained by it.
Difficult
View SolutionVelocity-time graph for the motion of an object in a straight path is a straight line parallel to the time axis.
$(a)$ Identify the nature of motion of the body.
$(b)$ Find the acceleration of the body.
$(c)$ Draw the shape of distance-time graph for this type of motion.
$(a)$ Identify the nature of motion of the body.
$(b)$ Find the acceleration of the body.
$(c)$ Draw the shape of distance-time graph for this type of motion.
Medium
View SolutionAn electron moving with a velocity of $5 \times 10^{4} \, ms^{-1}$ enters into a uniform electric field and acquires a uniform acceleration of $10^{4} \, ms^{-2}$ in the direction of its initial motion.
$(i)$ Calculate the time in which the electron would acquire a velocity double of its initial velocity.
$(ii)$ How much distance the electron would cover in this time?
$(i)$ Calculate the time in which the electron would acquire a velocity double of its initial velocity.
$(ii)$ How much distance the electron would cover in this time?
Medium
View SolutionThe velocity-time graph of a truck is plotted below.
$(a)$ Calculate the magnitude of displacement of the truck in $15$ seconds.
$(b)$ During which part of the journey was the truck decelerating?
$(c)$ Calculate the magnitude of average velocity of the truck.
$(a)$ Calculate the magnitude of displacement of the truck in $15$ seconds.
$(b)$ During which part of the journey was the truck decelerating?
$(c)$ Calculate the magnitude of average velocity of the truck.
Medium
View SolutionGive one example for each of the type of motion when
$(i)$ acceleration is in the direction of motion.
$(ii)$ acceleration is against the direction of motion.
$(iii)$ acceleration is uniform.
$(i)$ acceleration is in the direction of motion.
$(ii)$ acceleration is against the direction of motion.
$(iii)$ acceleration is uniform.
Medium
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