(B) Given: Initial velocity $u = 16 \,ms^{-1}$, time taken to reach water $t_1 = 5 \,s$, acceleration $g = 10 \,ms^{-2}$.Using the equation of motion

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(B) Given: Initial velocity $u = 16 \,ms^{-1}$, time taken to reach water $t_1 = 5 \,s$, acceleration $g = 10 \,ms^{-2}$.Using the equation of motion $s = ut + \frac{1}{2}at^2$ for the stone:Taking downward direction as positive, the displacement $h$ is:$h = -ut_1 + \frac{1}{2}gt_1^2$$h = -(16 \times 5) + \frac{1}{2} \times 10 \times (5)^2$$h = -80 + 125 = 45 \,m$.The distance traveled by sound is $d = 45 \,m$ and the time taken is $t_2 = 0.2 \,s$.Speed of sound $v = \frac{d}{t_2} = \frac{45}{0.2} = 225 \,ms^{-1}$.

Class 11 Physics Motion in Straight Line Motion Under Gravity

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$A$ diving board is at a height of $h$ from the water surface. $A$ swimmer standing on this board throws a stone vertically upward with a velocity of $16 \,ms^{-1}$. It reaches the water surface in a time of $5 \,s$. In the next $0.2 \,s$, the diver hears the sound from the water surface. What is the speed of sound (in $\,ms^{-1}$)? (Take acceleration due to gravity $g=10 \,ms^{-2}$)

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$200$
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Motion in Straight Line

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Motion Under Gravity

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If the distance travelled by a freely falling body in the last but one second of its motion is $5 \ m$,then the total time of motion is (Acceleration due to gravity $g = 10 \ m \ s^{-2}$) (in $s$)

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$A$ boy standing at the top of a tower of $20 \, m$ height drops a stone. Assuming $g = 10 \, m/s^2$,the velocity with which it hits the ground is ......... $m/s$.

EasyAIPMT 2011

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$A$ boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can,equal to $49\; m s^{-1}$. How much time does the ball take to return to his hands? If the lift starts moving up with a uniform speed of $5\; m s^{-1}$ and the boy again throws the ball up with the maximum speed he can,how long does the ball take to return to his hands?

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$A$ ball is thrown vertically downward with a velocity of $5 \ m/s$. With what velocity should another ball be thrown downward after $2 \ s$ so that it can hit the $1^{st}$ ball in $2 \ s$?

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Two stones of masses $m_1$ and $m_2$ (such that $m_1 > m_2$) are dropped $\Delta t$ time apart from the same height towards the ground. At a later time $t$,the difference in their speed is $\Delta v$ and their mutual separation is $\Delta s$. While both stones are in flight:

KVPY 2013

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If the distance travelled by a freely falling body in the last but one second of its motion is $5 \ m$,then the total time of motion is (Acceleration due to gravity $g = 10 \ m \ s^{-2}$) (in $s$)

$A$ boy standing at the top of a tower of $20 \, m$ height drops a stone. Assuming $g = 10 \, m/s^2$,the velocity with which it hits the ground is ......... $m/s$.

$A$ ball is thrown vertically downward with a velocity of $5 \ m/s$. With what velocity should another ball be thrown downward after $2 \ s$ so that it can hit the $1^{st}$ ball in $2 \ s$?

Two stones of masses $m_1$ and $m_2$ (such that $m_1 > m_2$) are dropped $\Delta t$ time apart from the same height towards the ground. At a later time $t$,the difference in their speed is $\Delta v$ and their mutual separation is $\Delta s$. While both stones are in flight:

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