A rocket is launched following the path h2 = 64(3x + 1)- and h is the vertical distance (height) the rocket has traveled from the launch pad. The vertical speed of the rocket is clocked at 12 mi/sec at a height of 1 mile. Simultaneously, it is noted that the vessel had drifted 5 miles from being directly above the launch pad. Find the horizontal speed of the rocket. where r is the horizontal distance %3D
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- Component Method: With your calculator, determine the x and y components of F1 and F2. Remember that Fx = Fcos θ and Fy = F sin θ. Find the x and y components of the resultant from the sum of x and y components. Draw a right triangle with x and y components as sides, and the hypotenuse representing the resultant. Calculate the magnitude of the resultant from the square root of (Rx2 + Ry2). Calculate the direction of the resultant by using θ R = tan-1 (Ry/Rx).A plane is flying to a city 716 km directly north of its initial location. Therefore the only component of the planes velocity relative to the earth most always be north The plane maintains a speed of 203 km/h relative to the air during its flight. The air is not standing still but has speed of 51.5 km/h relative to the earth. .(Let the +x-axis point East and the and the +y-axis point North) Let p=Plane, a =Air. e=Earth Using double subscript notation and write the vector components for the velocity of the Plane relative to the Earth (1) Vpex = (2) Vpey = + From the given the velocity of the plane relative to ground always has a "x-component" (east-west direction) of (3) Vpex = From the given the magnitude of the velocity of the plane relative to the air always is km (4) |Vpa| = hr From the given the magnitude of the velocity of the air relative to the air always is km (5) |Vae = hr Therefore , from equation (1) and (3) the angle the plane must fly at relative to the air direction can…Suppose you walk 13.5 m in a direction exactly 15° south of west. You then walk24.5 m in a direction exactly 43° west of north.a. What is the x-component of the displacement in meters of your motion when you are walking south ofwest? Let east be the positive x directionb. What is the y-component of the displacement of your motion in meters when you are walking south ofwest? Let north be the positive y directionc. What is the x-component of the displacement of your motion in meters when you are walking west ofnorth? Let east be the positive x direction.d. What is the y-component of the displacement of your motion in meters when you are walking west ofnorth? Let north be the positive y direction.e. How far, in meters, are you from your starting point?
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