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the equations of position, velocity and acceleration

For each position function find

(a) the velocity function

(b) the acceleration function

(c) The position, velocity and acceleration at t=1

1.

2.

3.

Source: Calculus Early Transcendentals by Howard Anton, Irl Bivens, Stephen Davis

For the 3 problems you did earlier, also answer the following questions for each one:

(d) At what times is the particle stopped?

(e) When is the particle speeding up? When is it slowing down?

(f) What is the speed of the particle when t=1?

Source: Calculus Early Transcendentals by Howard Anton, Irl Bivens, Stephen Davis