A particle moves according to a law of motion s = f(t) = t³ – 2t2 – 5t + 10, where tis measured in seconds and s in feet. Use it to answer the following questions. (For some answers you have to input numbers, for others to choose either A, or B, or C, or D from the list below the questions.) (i) The velocity as a function of t is (ii) The acceleration as a function of t is (iii) The acceleration after 2 seconds is ft/sec?. (iv) The acceleration when the velocity is 0 ft/sec?. (v) The acceleration when the velocity is –5 ft/sec?.

Q: If x varies directly as y, and x=12 when y=8, then which of the following represents x when y = 12?

A: Given: x varies directly as y

Q: The variable s is proportional to t, and s = 15 when t = 105.Determine t when s = 40.

A: Given: The variable s is proportional to t. s = 15 when t = 105.

Q: The variable s is proportional to t, and s=15 when t=45. Determine t when s=40 1-(Type an integer or…

A: The variable  is proportional to , and  when

Q: r16 dx 3. J2 2xVIn x

A:

Q: Assume that y varies jointly with x and the square root of z. f  y=30 when x=3 and z=25, then find…

A: Given y varies jointly with x & square revt at Z .If y = 30 when x = 3 & z = 25 .We have…

Q: The displacement (in meters) of a particle moving in a straight line is given by s = 21³ where t is…

A:

Q: The acceleration of a particular sports car is proportional to the difference between 300 km/h and…

A: We will find the time.

Q: The period T (in seconds) of a pendulum is given by T = 2n where L stands for the 32 length (in…

A: The period T (in seconds) of a pendulum is given by T=2πL32

Q: Consider the following. The variable y varies directly as x, and y = 80 when x = 48. Write the…

A:

Q: The velocity of a rocket is given as a function of time, v=8.9e-0.7t+14 , t≥0. The acceleration of…

A: The velocity of a rocket is given as a function of time, v=8.9 e-0.7t+14, t≥0. We have to find the…