10. The position of an object moving in a straight line is given by: S(t) = −2t³ + 5t² - 10t+20 (S is in meters and t in seconds). a) Find the velocity of the object when t = 1. b) Find the acceleration when t = 0.5

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?

A car moved distance S meters in a timet seconds, according to the formula S = 3t3 – 2t? + 4t – 1. Determine: 1.1 velocity at (i) t = 0, (ii)t = 1.5s. 1.2 Acceleration at (i) t = 0, (ii)t = 1.5s.