(B) The initial velocity of the ball is $u = 15 \ m/s$ and the angle of projection is $\theta = 37^o$. Taking $g = 10 \ m/s^2$,we have $\sin(37^o) \ap

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(B) The initial velocity of the ball is $u = 15 \ m/s$ and the angle of projection is $\theta = 37^o$. Taking $g = 10 \ m/s^2$,we have $\sin(37^o) \approx 0.6$.The total time of flight $T$ is given by:$T = \frac{2u \sin(\theta)}{g} = \frac{2 \times 15 \times 0.6}{10} = \frac{18}{10} = 1.8 \ s$.The man is at point $P$,which is $9 \ m$ away from the landing point $B$. To catch the ball,the man must cover this distance $d = 9 \ m$ within the time of flight $T = 1.8 \ s$.The minimum velocity $v$ required is:$v = \frac{d}{T} = \frac{9}{1.8} = 5 \ m/s$.

Class 11 Physics 2 Motion in a Plane Mix Examples-Motion in Plane

Medium

$A$ ball is hit by a batsman at an angle of $37^o$ with an initial velocity $u = 15 \ m/s$ as shown in the figure. The man standing at $P$ is at a distance of $9 \ m$ from the point $B$ where the ball would strike the ground. What is the minimum velocity at which the man should run to catch the ball before it hits the ground? Assume the height of the man is negligible. ........ $m/s$

A
$3$
B
$5$
C
$9$
D
$12$

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2 Motion in a Plane

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Mix Examples-Motion in Plane

$A$ ball of mass $100 \ g$ is projected with velocity $20 \ m/s$ at $60^{\circ}$ with the horizontal. The decrease in kinetic energy of the ball during the motion from the point of projection to the highest point is:

MediumJEE MAIN 2025

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$A$ body is moving with constant speed in a circle of radius $10 \ m$. The body completes one revolution in $4 \ s$. At the end of the $3^{rd}$ second,the displacement of the body (in $m$) from its starting point is:

MediumJEE MAIN 2023

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Fill in the blanks given below:
$(a)$ At an angle of .......... the horizontal range of a projectile is maximum.
$(b)$ The angle between the instantaneous velocity and instantaneous acceleration of a particle moving in a circular path with constant speed is ..........
$(c)$ If $\overrightarrow{A} = 4\widehat{i} + 3\widehat{j}$,then $|\overrightarrow{A}| = ..........$

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$A$ ball of mass $m$ is thrown vertically upwards. Another ball of mass $2m$ is thrown at an angle $\theta$ with the vertical. Both of them stay in air for the same period of time. The heights attained by the two balls are in the ratio of

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$A$ projectile is thrown into air with velocity $15 \ m/s$ at an angle $30^{\circ}$ with the horizontal. After what time is its direction of motion perpendicular to its initial direction (in $s$)? (Assume $g = 10 \ m/s^2$)

DifficultTS EAMCET 2020

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$A$ ball of mass $100 \ g$ is projected with velocity $20 \ m/s$ at $60^{\circ}$ with the horizontal. The decrease in kinetic energy of the ball during the motion from the point of projection to the highest point is:

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