A hot-air balloon is drifting in level flight due east at 3.0 m/s due to a light wind. The pilot suddenly notices that the balloon must gain 20 m of altitude in order to clear the top of a hill 130 m to the east. How much time does the pilot have to make the altitude change without crashing into the hill? What minimum, constant, upward acceleration is needed in order to clear the hill?

A hot-air balloon is drifting in level flight due east at 3.0 m/s due to a light wind. The pilot suddenly notices that the balloon must gain 20 m of altitude in order to clear the top of a hill 130 m to the east. How much time does the pilot have to make the altitude change without crashing into the hill? What minimum, constant, upward acceleration is needed in order to clear the hill?

Name: A hot-air balloon is drifting in level flight due east at 3.0 m/s due
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: A hot-air balloon is drifting in level flight due east at 3.0 m/s due to a light wind. The pilot suddenly notices that the balloon must gain 20 m of altitude in order to clear the top of a hill 130 m to the east.How much time does the pilot have to m

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 23P: The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows...

See similar textbooks

Similar questions

. A hot-air balloon is drifting straight downward with a constant speed of 2.40 m/s. When the balloon is7.63 m above the ground, the balloonist decides to drop one of the ballast sandbags to the ground below.How much time elapses before the sandbag hits the ground?
A football is kicked from ground with an velocity given by v0x =17.0 m/s and v 0y = 11.2 m/s. To what maximum height does it rise? At what time does it return to the ground? What horizontal distance has it covered in that time ?
A jet plane comes in for a landing with a speed of 100m/s, and its acceleration can have a maximum magnitude of 5.00m/s2 as it comes to rest from the instant the plane touches the runway, what is the minimum time interval needed before it can come to rest?
A football is kicked from ground level with an initial velocity given by v0x = 19.0 m/s and v0y = 11.6 m/s. To what maximum height y does it rise? At what time t does it return to the ground? What horizontal distance Δx has it covered in that time? Ignore air resistance.
An atom is constrained to move along the horizontal axis only. At time t = 0.7 s, the atom is at x = 0.05 m. At time t = 2.9 s, the atom is at x = 0.62 m. What is the atom's average velocity?
A group of students celebrate their first year of medical school with a hot-air balloon ride, which is rising upward with a constant speed of 3.0 m/s. When the balloon is 3.50 m above the ground, one of the students who is taking a selfie with the other students accidentally drops her smart phone over the side of the balloon (fortunately with a OtterBox case). With what speed would the phone hit the ground in m/s? Note that the displacement of the phone dropping 3.50 m would be - 3.50 m. For the same situation as Question 9, how long in seconds would the smart phone be in the air before it hits the ground?
A dancing policeman performs a stunt by tossing his cap vertically upward with an initial speed of 10 m/s and falls back to his head on its way down. How long will it take the cap to reach the highest point of its path?
A hot-air balloon is rising upward with a constant speed of 2.55 m/s. When the balloon is 2.91 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?
A car is 126 m from a stop sign and traveling toward the sign at 29 m/s. At this time, the driver suddenly realizes that she must stop the car. If it takes 0.200 s for the driver to apply the brakes, what must be the magnitude of the constant acceleration of the car after the brakes are applied so that the car will come to rest at the stop sign?
A jetliner traveling north is landing with a speed of 74 m/s. Once the jet touches down, it has 755 m of runway which reduced its speed to 11.1 m/s. What is the average acceleration (magnitude & direction) of the jet during landing?
a rocket initially at rest, is fired vertically with an upward acceleration of 10ms/s. at an altitude of 0.5km, the engine of the rocket cuts off. what is the maximum altitude reached by the rocket ?
A pilot without special training or equipment can tolerate a horizontal acceleration of up to about 3.80g for a short period of time (about a minute) without losing consciousness. How long would it take a supersonic jet in horizontal flight to accelerate from 406 m/s to 700 m/s at an acceleration of 3.80g?