(D) Given: Initial velocity $u = 5 \, m s^{-1}$.Final velocity at maximum height $v = 0 \, m s^{-1}$.Acceleration $a = -10 \, m s^{-2}$ (since it acts

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(D) Given: Initial velocity $u = 5 \, m s^{-1}$.Final velocity at maximum height $v = 0 \, m s^{-1}$.Acceleration $a = -10 \, m s^{-2}$ (since it acts downwards).Using the equation of motion $v^2 - u^2 = 2as$:$0^2 - (5)^2 = 2 \times (-10) \times s$$-25 = -20s$$s = \frac{-25}{-20} = 1.25 \, m$.Using the equation of motion $v = u + at$:$0 = 5 + (-10)t$$10t = 5$$t = 0.5 \, s$.Thus,the height attained is $1.25 \, m$ and the time taken is $0.5 \, s$.

Class 9 Science MOTION Textbook - MOTION

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$A$ stone is thrown in a vertically upward direction with a velocity of $5 \, m s^{-1}$. If the acceleration of the stone during its motion is $10 \, m s^{-2}$ in the downward direction,what will be the height attained by the stone and how much time will it take to reach there?

A
$t=1 \, s; s=1.25 \, m$
B
$t=0.5 \, s; s=2.25 \, m$
C
$t=1 \, s; s=2.5 \, m$
D
$t=0.5 \, s; s=1.25 \, m$

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Joseph jogs from one end $A$ to the other end $B$ of a straight $300 \, m$ road in $2 \, min$ $30 \, sec$ and then turns around and jogs $100 \, m$ back to point $C$ in another $1 \, min$. What are Joseph's average speeds and velocities in jogging from $A$ to $B$?

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$A$ stone is thrown in a vertically upward direction with a velocity of $5 \, m s^{-1}$. If the acceleration of the stone during its motion is $10 \, m s^{-2}$ in the downward direction,what will be the height attained by the stone and how much time will it take to reach there?

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Joseph jogs from one end $A$ to the other end $B$ of a straight $300 \, m$ road in $2 \, min$ $30 \, sec$ and then turns around and jogs $100 \, m$ back to point $C$ in another $1 \, min$. What are Joseph's average speeds and velocities in jogging from $A$ to $B$?

$A$ farmer moves along the boundary of a square field of side $10 \, m$ in $40 \, s$. What will be the magnitude of displacement (in $m$) of the farmer at the end of $2 \, min \; 20 \, s$ from his initial position?

$A$ racing car has a uniform acceleration of $4 \,m s^{-2}$. What distance (in $m$) will it cover in $10 \,s$ after start?

$A$ train starting from a railway station and moving with uniform acceleration attains a speed $40 \, km \, h^{-1}$ in $10$ minutes. Find its acceleration (in $m / s^{2}$).

What is the nature of the distance-time graphs for uniform and non-uniform motion of an object?

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