A rhinoceros is at the origin of coordinates at time t₁ = 0. For the time interval from t₁ to t2 = 12.5 s, the rhino's average velocity has x-component -4.50 m/s and y-component 4.20 m/s.
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- A particle is moving in three dimensions and its position vector is given by; r(t) = (4t² + 1.7t) î + (1.5t − 2.1)ĵ + (2.7t³ + 2t) k where r is in meters and t is in seconds. Determine the magnitude of the instantaneous velocity at t = 3s. Express your answer in units of m/s using one decimal place. Answer:A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 - 2.1t , where x and y are in meters and t is in seconds. Write a vector expression for the ball’s velocity as a function of time.The velocity of a particle (in meters per second) is given by v = 16t²i + 4t³j+ (5t + 2)k, where t is in seconds. If the particle is at the origin when t = 0, determine the magnitude of the particle's acceleration when t = 2 s. Also, what is the x, y, z coordinate position of the particle at this instant?
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