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Finding velocity and time for moving particle.

1. A particle moves along the x-axis with its position at time t given by x(t) = t3 - 2t + 4. Which of the following is the velocity at time t = 4?

a. 24
b. 46
c. 50
d. 60

2. An arrow is shot vertically upward. Its height p in feet above the ground after t seconds is given by p(t) = -16t2 + 160t + 384. How long does it take to reach its highest point?

a. 2 sec
b. 12 sec
c. 5 sec
d. 384 sec

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