A rocket follows a path given by y=x-1/90 x^3 (distances in miles). If the horizontal velocity is given by vx=x, find the magnitude and direction of the velocity when the rocket hits the ground (assume level terrain) if time is in minutes.
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A rocket follows a path given by y=x-1/90 x^3 (distances in miles). If the horizontal velocity is given by vx=x, find the magnitude and direction of the velocity when the rocket hits the ground (assume level terrain) if time is in minutes.
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- A golf ball is hit upward, with an initial velocity of 47 meters per second, at an angle of 25° with respect to the horizontal. The ball is hit from a height of 8 meters above the ground. The horizontal distance x from the starting point and the height y above the ground of the ball t seconds after it is hit are given by the parametric equations below. x=(v0cosθ)t y=−4.9t^2+(v0sinθ)t+h Here v0 is the initial velocity, θ is the initial angle with respect to the horizontal, and h is the initial height. Use the equations to answer the following questions. (a)How long is the ball in the air before it first touches the ground?Do not round any intermediate computations. Round your answer to the nearest hundredth. _____ seconds (b)What is the horizontal distance the ball travels before it first touches the ground?Round your answer to the nearest whole number. _____ metersA snowmobile is originally at the point with position vector 27.1 m at 95.0° counterclockwise from the x axis, moving with velocity 4.13 m/s at 40.0°. It moves with constant acceleration 15 m at 200 After 5.00 s have elapsed, find the following. (Express your answers in vector form.) (a) its velocity vector (b) its position vectorA person walks in the following pattern: 3.0 km north, then 2.1 km west, and finally 5.2 km south. (a) How far and (b) at what angle (measured counterclockwise from east) would a bird fly in a straight line from the same starting point to the same final point?