95.4k views
3 votes
A hot air balloon is rising at a constant rate of 10 meters per second, while blowing east at a rate of 3 meters per second. The balloon travels on a diagonal path, and its position after 1 second is shown. How far does the balloon travel after 10 seconds?

User Gavin Hope
by
8.4k points

2 Answers

3 votes

Answer:

3,000 meters.

Explanation:

What you should first do is set up a diagram to demonstrate the velocity of the balloon and wind.

After having that set up, you can use the pythagorean theorem to find the hypotenuse of the triangle made after 10 seconds.

3²*10²=√900 (for one second)

√900 = ±30 m traveled in one second

30²×100²=√9,000,000

√9,000,000 = ±3,000 m

A hot air balloon is rising at a constant rate of 10 meters per second, while blowing-example-1
User Skmasq
by
8.1k points
2 votes

Answer:130 meters

Explanation:

it travels up 10 meters and over 3 meters per second. so that means it travels 13 meters per second. then you do 13 x 10 and get 130 meters

User SufleR
by
8.2k points