7. The captain of a small plane starts his journey by proceeding west. The speed of the plane with respect to still air is 170 km/h. A sudden south wind starts to blow at a constant speed of 87.5 km/h. What is the speed of the plane relative to the ground if no action is taken by the pilot? km/h MacBook Air

7. The captain of a small plane starts his journey by proceeding west. The speed of the plane with respect to still air is 170 km/h. A sudden south wind starts to blow at a constant speed of 87.5 km/h. What is the speed of the plane relative to the ground if no action is taken by the pilot? km/h MacBook Air

Name: WSandXH37. The captain of a small plane starts his journey by proceed
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Description: WSandXH37. The captain of a small plane starts his journey by proceeding west. The speed of the plane with respect to still air is170 km/h. A sudden south wind starts to blow at a constant speed of 87.5 km/h. What is the speed of the plane relativet

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 28P: In a classic clip on Americas Funniest Home Videos, a sleeping cat rolls gently off the top of a...

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A jet airliner moving initially at 3.35 ✕ 102 mi/h due east enters a region where the wind is blowing at 1.00 ✕ 102 mi/h in a direction 29.5° north of east. (Let the x-direction be eastward and the y-direction be northward.) (a) Find the components of the velocity of the jet airliner relative to the air, vJA. vJA,x = mi/h vJA,y = mi/h (b) Find the components of the velocity of the air relative to Earth, vAE. vAE,x = mi/h vAE,y = mi/h (d) What are the speed and direction of the aircraft relative to the ground? magnitude mi/h direction ° north of east
A jet airliner moving initially at 3.35 102 mi/h due east enters a region where the wind is blowing at 1.00 102 mi/h in a direction 35.5° north of east. (Let the x-direction be eastward and the y-direction be northward.) (a) Find the components of the velocity of the jet airliner relative to the air, JA. vJA,x = mi/h vJA,y = mi/h (b) Find the components of the velocity of the air relative to Earth, AE. vAE,x = mi/h vAE,y = mi/h (c) Write an equation analogous to vAB = vAE − vBE for the velocities vJA, vAE, and vJE . (In the given equation, vBE is the velocity of observer B relative to observer E. Object A travels with velocity vAB relative to observer B, and velocity vAE relative to observer E.) vJA = vJA = vAE + 2vJE vJA = vAE − vJE vJA = vJE − vAE vJA = vJE + vAE (d) What are the speed and direction of the aircraft relative to the ground? magnitude mi/h direction ° north of east
A fireman d = 50.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of i = 30.0 above the horizontal as shown in Figure P3.18. If the speed of the stream as it leaves the hose is vi = 40.0 m/s, at what height will the stream of water strike the building? Figure P3.18
A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at angle i above the horizontal as shown in Figure P3.16. If the initial speed of the stream is vi, at what height h does the water strike the building? Figure P3.16
In a classic clip on Americas Funniest Home Videos, a sleeping cat rolls gently off the top of a warm TV set. Ignoring air resistance, calculate the position and velocity of the cat after (a) 0.100 s, (b) 0.200 s, and (c) 0.300 s.
A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00 min, and finally travels northwest at 30.0 m/s for 1.00 min. For this 6.00-min trip, find (a) the total vector displacement, (b) the average speed, and (c) the average velocity. Let the positive x axis point east.
A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the x components of the puck's initial velocity and acceleration are v0x = +5.6 m/s and ax = +9.5 m/s2. The y components of the puck's initial velocity and acceleration are v0y = +3.1 m/s and ay = -3.0 m/s2. Find (a) the magnitude v and (b) the direction θ of the puck's velocity at a time of t = 0.50 s. Specify the direction relative to the +x axis.
A cruise ship sails due north at 4.50 m/s while a coast guard patrol boat heads45.0° north of west at 5.20 m/s. What are (a) the x- and (b) y-components of the velocity of the cruise ship relative to the patrol boat? (See Section 3.5.)
At one instant a bicyclist is 40.0 m due east of a park’s flagpole, going due south with a speed of 10.0 m/s.Then 30.0 s later, the cyclist is 40.0 m due north of the flagpole, going due east with a speed of 10.0 m/s. For the cyclist in this 30.0 s interval, what are the (a) magnitude and (b) direction of the displacement, the (c) magnitude and (d) direction of the average velocity, and the (e) magnitude and (f) direction of the average acceleration?
On a spacecraft two engines fire for a time of 389 s. One gives the craft an acceleration in the x direction of ax = 3.41 m/s^2, while the other produces an acceleration in the y direction of ay = 7.34 m/s^2. At the end of the firing period, the craft has velocity components of vx = 1860 m/s and vy = 4290 m/s. Find the (a) magnitude and (b) direction of the initial velocity. Express the direction as an angle with respect to the +x axis.
A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 146 feet per second from an initial height of 89 feet off the ground, then the height of the projectile, h, in feet, t seconds after it's shot is given by the equation: h=−16t2+146t+89h=-16t2+146t+89 Find the two points in time when the object is 126 feet above the ground (to one decimal places). Answer: The object is 126 feet off the ground at the following times: (Enter your two answers separated by a comma. Round to ONE decimal places.)
A jet airliner moving initially at 3.80 ✕ 102 mi/h due east enters a region where the wind is blowing at 1.00 ✕ 102 mi/h in a direction 29.5° north of east. (Let the x-direction be eastward and the y-direction be northward.) (a) Find the components of the velocity of the jet airliner relative to the air, vJA. (b) Find the components of the velocity of the air relative to Earth, vAE (c) What are the speed and direction of the aircraft relative to the ground? magnitude _______ mi/h direction _______ °north of east