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This question is based on the concept of position vector, velocity vector and acceleration vector. The detailed solution is described below:
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Exp. Prob.1 The flight path of the helicopter as it takes off from A is defined...
The flight path of a jet aircraft as it takes off is defined by the parametric...
The flight path of a jet aircraft as it takes off is defined by the parametric equations x= 1.2t^2 and y = 0.04t^3where t is the time after take-off, measured in seconds, and x and y are given in meters. At t = 50 s (just before it starts to level off), determine (a) the horizontal distance it is at from the airport, (b) its altitude, (c) its speed and (d) the magnitude of its acceleration.
A 9500 kg- helicopter takes off vertically from rest. The upward thrust (in KN) is given...
A 9500 kg- helicopter takes off vertically from rest. The upward thrust (in KN) is given by T = 100t + 2t^2. Determine: a) Velocity of the helicopter after 3 seconds b) Height of the helicopter after 3 seconds
1. <Problem Due> A particle is traveling along the path defined by y=(x - 1)?. If...
1. <Problem Due> A particle is traveling along the path defined by y=(x - 1)?. If x = 0.562 m, where t is in seconds, calculate the magnitudes of the particle's velocity ū and acceleration ā when t = 1 s. Also, sketch your results and show the directions of ū and ā when t= 1 s.
A helicopter starts from rest at point A and travels along the straight-line path with a...
A helicopter starts from rest at point A and travels along the straight-line path with a constant acceleration a. If the speed v = 33 m/s when the altitude of the helicopter is h = 44 m, determine the values of r, i, o, and as measured by the tracking device at O. At this instant, 0 = 38°, and the distance d = 159 m. Neglect the small height of the tracking device above the ground. ih А d...
A few seconds after a plane took off it was hit by a missile launched from...
A few seconds after a plane took off it was hit by a missile launched from a distance on the ground. The path of the plane is described by y=(0.0005 x?)m. The missile traveled along a parabolic path described by y2 = (160 x), where the coordinates are measured in meters. If the components of the missile velocity in the horizontal and vertical directions are constant at vx =120 m/s and v; = 100 m/s, respectively, and the plane was...
A few seconds after a plane took off it was hit by a missile launched from...
A few seconds after a plane took off it was hit by a missile launched from a distance on the ground. The path of the plane is described by y=(0.0005 x²) m. The missile traveled along a parabolic path described by y2 = (160 x), where the coordinates are measured in meters. If the components of the missile velocity in the horizontal and vertical directions are constant at vr =120 m/s and v; = 100 m/s, respectively, and the plane...
A. Alhouse is thrown straight upward off a high building. The building is located somewhere on...
A. Alhouse is thrown straight upward off a high building. The building is located somewhere on the surface of Earth. 4 seconds later, the mouse hits the ground. ASSUME: • The building is an unknown height. • The mouse takes 4 seconds to reach the ground. • The mouse's initial speed is 5 m/s DETERMINE: • The height of the building. 6 pts) B. Near the surface of Earth, a helicopter travels upward at a constant velocity. At some moment,...
Prob. 3 If a 2-kg particle moves along a path given by: r(t) = 5 m...
Prob. 3 If a 2-kg particle moves along a path given by: r(t) = 5 m = constant, and (35) e(t) = 2t rads with t in seconds (36) Sketch and name the entire motion path, and determine the magnitude of the net force and acceleration at any time that you choose.
An object travels along the sinusoidal path defined by the y sin(0.5(rad/m) x). If the component...
An object travels along the sinusoidal path defined by the y sin(0.5(rad/m) x). If the component of velocity along the x axis is t? m/s where t is in seconds, determine the objects distance from the origin O and its acceleration when t- 1.5 s. When t 0,x-O,y-0
other end of the same pencil. If the A gnat takes off from one end of...
other end of the same pencil. If the A gnat takes off from one end of a pencil and flies around erratically for 35.6 seconds before landing on the gnat flew a total distance of 6.15 meters, and the pencil is 0.0413 mm the magnitude of the gnat's average velocity vector. Jack and Jill exercise in a 25.0-m-long swimmin 155.3 seconds (2 minutes and 35.3 seconds), while Jill, the faster swimmer, covers ten lengths in the same time interval. Find...
1. <Problem Due> A particle is traveling along the path defined by y=(x - 1)?. If x = 0.562 m, where t is in seconds, calculate the magnitudes of the particle's velocity ū and acceleration ā when t = 1 s. Also, sketch your results and show the directions of ū and ā when t= 1 s.
A helicopter starts from rest at point A and travels along the straight-line path with a constant acceleration a. If the speed v = 33 m/s when the altitude of the helicopter is h = 44 m, determine the values of r, i, o, and as measured by the tracking device at O. At this instant, 0 = 38°, and the distance d = 159 m. Neglect the small height of the tracking device above the ground. ih А d...
A few seconds after a plane took off it was hit by a missile launched from a distance on the ground. The path of the plane is described by y=(0.0005 x?)m. The missile traveled along a parabolic path described by y2 = (160 x), where the coordinates are measured in meters. If the components of the missile velocity in the horizontal and vertical directions are constant at vx =120 m/s and v; = 100 m/s, respectively, and the plane was...
A few seconds after a plane took off it was hit by a missile launched from a distance on the ground. The path of the plane is described by y=(0.0005 x²) m. The missile traveled along a parabolic path described by y2 = (160 x), where the coordinates are measured in meters. If the components of the missile velocity in the horizontal and vertical directions are constant at vr =120 m/s and v; = 100 m/s, respectively, and the plane...
A. Alhouse is thrown straight upward off a high building. The building is located somewhere on the surface of Earth. 4 seconds later, the mouse hits the ground. ASSUME: • The building is an unknown height. • The mouse takes 4 seconds to reach the ground. • The mouse's initial speed is 5 m/s DETERMINE: • The height of the building. 6 pts) B. Near the surface of Earth, a helicopter travels upward at a constant velocity. At some moment,...
Prob. 3 If a 2-kg particle moves along a path given by: r(t) = 5 m = constant, and (35) e(t) = 2t rads with t in seconds (36) Sketch and name the entire motion path, and determine the magnitude of the net force and acceleration at any time that you choose.
An object travels along the sinusoidal path defined by the y sin(0.5(rad/m) x). If the component of velocity along the x axis is t? m/s where t is in seconds, determine the objects distance from the origin O and its acceleration when t- 1.5 s. When t 0,x-O,y-0
other end of the same pencil. If the A gnat takes off from one end of a pencil and flies around erratically for 35.6 seconds before landing on the gnat flew a total distance of 6.15 meters, and the pencil is 0.0413 mm the magnitude of the gnat's average velocity vector. Jack and Jill exercise in a 25.0-m-long swimmin 155.3 seconds (2 minutes and 35.3 seconds), while Jill, the faster swimmer, covers ten lengths in the same time interval. Find...
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