Question 54: Motion in 1D

Question

A balloon was moving upwards with a uniform velocity of 10 m/s. An object of finite mass is dropped from the balloon when it was at a height of 75 m from the ground level. The height of the balloon from the ground when object strikes the ground was around :
(takes the value of g as 10 m/s
2
)

Accepted Answer

Object is projected as shown so as per motion under gravity
$$S = ut + {1 \over 2}a{t^2}$$
$$ - 75 =  + 10t + {1 \over 2}( - 10){t^2} \Rightarrow t = 5$$ sec
Object takes t = 5 s to fall on ground
Height of balloon from ground
H = 75 + ut
= 75 + 10 $$	imes$$ 5 = 125 m

Answer

300 m

Answer

200 m

Answer

125 m

Answer

250 m

Motion in 1D

A balloon was moving upwards with a uniform velocity of 10 m/s. An object of finite mass is dropped from the balloon when it was at a height of 75 m from the ground level. The height of the balloon from the ground when object strikes the ground was around : (takes the value of g as 10 m/s 2 )

Choose the correct answer: