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Part (e) Find the instantaneous velocity, in meters per second, at t 2 sPart (f) Find the instantaneous velocity, in meters per second, at t 3 sPart (g) Find the position, in meters, of the particle at t = 1 sPart (h) Find the position, in meters, of the particle at 2 sPart (i) Find the position, in meters, of the particle at t 3 s

Question

In a particular Cartesian coordinate system, the y and z-components of the acceleration are zero and the x-component varies as given by the following function: ax(t) = 8t - 2t2 + 15e-t/F, where t is in seconds, ax is in meters per square second, and the constant F is in seconds. At t = 0, the particle was at position x = 3 m with a velocity pointing towards the positive x-axis and having magnitude 25 m/s. In the following problem you can take the constant F = 1.0 s.

Part (e) Find the instantaneous velocity, in meters per second, at t 2 s
Part (f) Find the instantaneous velocity, in meters per second, at t 3 s
Part (g) Find the position, in meters, of the particle at t = 1 s
Part (h) Find the position, in meters, of the particle at 2 s
Part (i) Find the position, in meters, of the particle at t 3 s
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Part (e) Find the instantaneous velocity, in meters per second, at t 2 s Part (f) Find the instantaneous velocity, in meters per second, at t 3 s Part (g) Find the position, in meters, of the particle at t = 1 s Part (h) Find the position, in meters, of the particle at 2 s Part (i) Find the position, in meters, of the particle at t 3 s

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