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NAME:_______________________________________ Scientific Programming I PHYSICS HOMEWORK #3 : A constant force F = + 6 N acts on a particle of mass m = 3 kg , at xo = 0 m , with a velocity vo = - 2 m/s. (1) Write the Equations for x(t), v(t) and a(t) which correspond to the situation described above. Simplify your functions. (2) Find the time tR when the will the particle be at rest: (3) Where will the particle be at tR ? (4) Where will the particle be at t = 4tR ? (5) What will the particle’s velocity be at t = 4tR ? (6) At what time will the particle have a velocity of +2 m/s ? 1 NAME:_______________________________________ Scientific Programming I (7) At what time will the particle be at x = 4 m ? (8) Without sketching a graph, what will the slope of a line tangent to the graph v(t) at any point be ? Why ? (9) Without sketching a graph, what will the slope of a line tangent to the graph x(t) at t = tR be ? Why ? (10) Without sketching a graph, what will the slope of a line tangent to the graph x(t) at t = 4tR be ? (11) Sketch a graph of a(t). What is the area under a(t) between the times t= tR and t= 4tR ? How is this related to v(tR ) & v (4tR ) ? 2