On a spacecraft, two engines are turned on for 977 s at a moment when the velocity of the craft has x and y components of vox = 5860 m/s and voy = 4340 m/s. While the engines are firing, the craft undergoes a displacement that has components of x = 2.47 x 106 m and y = 7.41 x 106 m. Find the (a) x and (b) y components of the craft's acceleration. (a) Number i (b) Number Units m/s^2 く Units m/s^2
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- A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by the following expressions: x = (18.0 m/s)t y = (4.00 m/s)t – (4.90 m/s²)t² (a) Express the position of the ball as function of time in terms of unit vectors. (b) In terms of unit vectors, calculate for the position, velocity, and acceleration of the golf ball at t = 3.00 s.At time t = 0, the position vector of a particle moving in the x-y plane is r = 4.62i m. By time t = 0.011 s, its position vector has become (4.84i +0.54j) m. Determine the magnitude Vay of its average velocity during this interval and the angle 0 made by the average velocity with the positive x-axis. Answers: Vav 0= i i m/sThe velocity of a particle moving in the x-y plane is given by (6.12i + 3.24j) m/s at time t = 3.65 s. Its average acceleration during the next 0.02 s is (4.0i + 6.0j) m/s². Determine the velocity v of the particle at t = 3.67 s and the angle between the average-acceleration vector and the velocity vector at t = 3.67 s. Answers: V = ( i 8= i it i j) m/s
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