# A helium balloon leaves the ground at a point A and rises vertically............what is the speed of the balloon in m/s?

194 views

A helium balloon leaves the ground at a point A and rises vertically at uniform speed.
At the end of 5 minutes, Rohan finds the angular elevation of the balloon as 30 degree.
If the point at which Rohan is standing is 550 m away from point A, what is the speed of the balloon in m/s?

posted Oct 4

1.06 m/sec

E- elevation
D- distance = 550 m
Time- 5 min
S- speed= ?

E/D=tan(30 deg) --> E=D*tan(30 deg)= 550m * 0.577=317.54 m
S=317.54 m/5 min= 317.54 m/ 300 sec= 1.06 m/sec

Similar Puzzles

A tap is opened to fill a bucket, and water flows from the tank through a pipe. Now, as shown in the diagram, consider two points A and B on the vertical part of the pipe which has a uniform cross section.

If the pipe is completely filled with water and the water flows steadily, then at which point is the speed of the water flow greater?

+1 vote

A rocket, initially at rest in deep space, starts its thrusters, which then burn and eject fuel at a uniform rate to provide constant thrust to the rocket.

How does the speed of the rocket vary with time?

a) The speed remains constant
b) The speed increases at a constant rate
c) The speed increases at a decreasing rate
d) The speed increases at an increasing rate