- #1
mohd22
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1. A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rocket's acceleration has components a_{x}(t)= \alpha t^{2} and a_{y}(t)= \beta - \gamma t, where \alpha = 2.50 {\rm m}/{\rm s}^{4}, \beta = 9.00 {\rm m}/{\rm s}^{2}, and \gamma = 1.40 {\rm m}/{\rm s}^{3} . At t = 0 the rocket is at the origin and has velocity {\vec{v}}_{0} = {v}_{0x} \hat{ i } + v_{0y} \hat{ j } with v_{0x} = 1.00 {\rm m}/{\rm s} and v_{0y} = 7.00 {\rm m}/{\rm s} .
2. Calculate the velocity vector as a function of time.
Express your answer in terms of v_0x, v_0y, beta, gamma, and alpha. Write the vector \vec{v}(t) in the form v(t)_x, v(t)_y, where the x and y components are separated by a comma.
Calculate the position vector as a function of time.
Express your answer in terms of v_0x, v_0y, beta, gamma, and alpha. Write the vector r(t)_vec in the form r(t)_x, r(t)_y where the x and y components are separated by a comma
Your answer should be an expression, not an equation.
2. Calculate the velocity vector as a function of time.
Express your answer in terms of v_0x, v_0y, beta, gamma, and alpha. Write the vector \vec{v}(t) in the form v(t)_x, v(t)_y, where the x and y components are separated by a comma.
Calculate the position vector as a function of time.
Express your answer in terms of v_0x, v_0y, beta, gamma, and alpha. Write the vector r(t)_vec in the form r(t)_x, r(t)_y where the x and y components are separated by a comma
Your answer should be an expression, not an equation.