A man in a balloon rising vertically with an | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) $1$. Height reached by the balloon in $t = 2\,s$:$h_1 = \frac{1}{2} a t^2 = \frac{1}{2} 	imes 4.9 	imes (2)^2 = 9.8\,m$.$2$. Velocity of the bal

Vedclass · Accepted Answer

$14.7$

Vedclass · Answer

(A) $1$. Height reached by the balloon in $t = 2\,s$:$h_1 = \frac{1}{2} a t^2 = \frac{1}{2} 	imes 4.9 	imes (2)^2 = 9.8\,m$.$2$. Velocity of the balloon at $t = 2\,s$:$v = a t = 4.9 	imes 2 = 9.8\,m/s$.$3$. When the ball is released,it has an initial upward velocity $u = 9.8\,m/s$. It moves under gravity until its velocity becomes zero at maximum height $h_2$ relative to the release point:$v^2 = u^2 - 2 g h_2 \implies 0 = (9.8)^2 - 2 	imes 9.8 	imes h_2 \implies h_2 = \frac{9.8}{2} = 4.9\,m$.$4$. The greatest height above the ground is the sum of the height at release and the additional height gained by the ball:$H = h_1 + h_2 = 9.8 + 4.9 = 14.7\,m$.

$A$ man in a balloon rising vertically with an acceleration of $4.9\,m/s^2$ releases a ball $2\,s$ after the balloon is let go from the ground. The greatest height above the ground reached by the ball is...........$m$ $(g = 9.8\,m/s^2)$

Similar Questions

Draw the graph of $y$ versus $t$ for an object falling freely,where $y$ is the vertical displacement and $t$ is time.

$A$ ball is thrown vertically up (taken as $+z-$ axis) from the ground. The correct momentum-height $(p-h)$ diagram is

$A$ body is thrown vertically upwards with a velocity of $35 \ m/s$ from the ground. The ratio of the speeds of the body at times $3 \ s$ and $4 \ s$ of its motion is (Acceleration due to gravity $= 10 \ m/s^2$)

$A$ body is thrown vertically upwards and takes $5 \text{ s}$ to reach maximum height. The distance travelled by the body will be same in

$A$ parachutist,after bailing out,falls $20\,m$ without friction. When the parachute opens,it decelerates at $2\,m/s^2$. He reaches the ground with a speed of $4\,m/s$. At what height did he bail out (in $,m$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module