Question

A robotic vehicle, or rover, is exploring the surface of Mars. The stationary Mars lander is the origin of coordinates, and the surrounding Nlartian surface lies in the xy-plane. The rover, which we represent as a point, has x- and y-coordinates that vary with time: x 2.0 m — (0.25 m/s2 )t2 y (1.0 m/s)t + (0.025 m/s3 )t3 (a) Find the rover's coordinates and distance from the lander at t 2.0 s. (b) Find the rover's displacement and average velocity vectors for the interval t 0.0 s to t = 2.0 s. (c) Find a general expression for the rover's instantaneous velocity vector v. Express v at t 2.0 s in component form and in terms of magnitude and direction.

Answer 1

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