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A particle moves so that its position as a function of time is where A = 1.0 m, B = 4.0 m/s 2 , and C = 1.0 m/s. Write expressions for (a) its velocity and (b) its acceleration as functions of time. (c) What is the shape of the particle's trajectory?

A particle moves so that its position as a function of time is
where A = 1.0 m, B = 4.0 m/s2, and C = 1.0 m/s. Write expressions for (a) its velocity and (b) its acceleration as functions of time. (c) What is the shape of the particle's trajectory?

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
6 years ago
(a) Substitute 233-1287_1.PNG
233-2318_2.PNG
233-742_2.PNG
(c) The acceleration vector is a constant vector along the y direction, therefore the particle moves in a parabola in xy plane.

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