# physics

A hot-air balloon is rising upward with a constant speed of 3.06 m/s. When the balloon is 9.31 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground?

1. 👍 0
2. 👎 0
3. 👁 224
1. Solve this equation for t:

height = 0 = 9.31 + 3.06 t - (g/2) t^2
= - 4.9 t^2 + 3.06 t + 9.31

There will be two answers since this is a quadratic equation. Take the positive one.

t = (-1/9.8)[-3.06 - sqrt[(3.06)^2 + 182.5)]
= 1.726 s

1. 👍 0
2. 👎 0
posted by drwls

## Similar Questions

1. ### Physics

A hot-air balloon is accelerating upward under the influence of two forces, its weight and the buoyant force. For simplicity, consider the weight to be only that of the hot air within the balloon, thus ignoring the balloon fabric

asked by Name on June 23, 2013
2. ### Physics

A hot-air balloon is accelerating upward under the influence of two forces, its weight and the buoyant force. For simplicity, consider the weight to be only that of the hot air within the balloon, thus ignoring the balloon fabric

asked by Name on June 23, 2013
3. ### calculus

A hot air balloon is rising vertically upward from the ground. The crew of a boat from a nearby lake notices this situation and looks upward at an angle of 10 degree to see the balloon. If the boat is 400meters away from the

asked by rhakesh on May 3, 2016
4. ### physics

A hot-air balloon is rising upward with a constant speed of 2.50 m/s. When the balloon is 3.00 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass

asked by rachel on March 9, 2012
5. ### Physics

A hot-air balloon is rising upward with a constant speed of 2.83 m/s. When the balloon is 8.64 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass

asked by Nsilo on October 14, 2011
6. ### Phyics

A hot-air balloon is rising upward with a constant speed of 4.00 m/s. When the balloon is 4.77 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass

asked by Tracy on September 25, 2013
7. ### physics

A hot-air balloon is rising upward with a constant speed of 2.35 m/s. When the balloon is 2.50 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass

asked by Jane on September 24, 2014
8. ### physics

A hot-air balloon is rising upward with a constant speed of 2.00 m/s. When the balloon is 3.37 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass

asked by louis aaaa on June 17, 2013
9. ### physics

A hot-air balloon is rising upward with a constant speed of 2.22 m/s. When the balloon is 7.74 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass

asked by colby on September 6, 2012
10. ### Phyics

A hot-air balloon is rising upward with a constant speed of 4.00 m/s. When the balloon is 4.77 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass

asked by Johnny on October 20, 2013
11. ### Physics

A hot-air balloon is rising upward with a constant speed of 2.50 m/s. When the balloon is 3.00 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass

asked by James on February 1, 2012

More Similar Questions