Flag General Physics> A balloon starts ascending with a constan...
question mark

A balloon starts ascending with a constant acceleration for 5 sec. A stone is thrown from the balloon and it reaches the ground in 5 sec. Calculate the velocity with which the balloon starts rising upwards.
Ans :12.5 m/s

Aastha Ojha , 5 Years ago
Grade 11
anser 1 Answers
Arun
Analysis of situation: t = 0 is the time when the balloon started rising up. At t = 0, when the packet is dropped, the balloon is moving up with velocity v = 0 + at 
0
​ 
  = at 
0
​ 
 . Hence, initial velocity of the packet will be v 
0
​ 
 =at 
0
​ 
  (upward). As the balloon has started rising upwards with constant acceleration a, so after t 
0
​ 
  seconds, its height from the ground is y 
0
​ 
 = 
2
1
​ 
 at 
0
2
​ 
 .
For packet: s = ut - 
2
1
​ 
 gt 
2
 
⇒ − 
2
1
​ 
 at 
0
2
​ 
  = at 
0
​ 
 t− 
2
1
​ 
 gt 
2
  ⇒ gt 
2
 −2at 
0
​ 
 t−at 
0
2
​ 
 =0
Solving the quadratic equation, we get t =  
g
at 
0
​ 
 
​ 
 [1+ 
1+ 
a
g
​ 
 
​ 
 ]
Last Activity: 5 Years ago
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments