Please help

Q1.

Let s(t) = 4t3 36252 + 60t be the equation of motion for a particle. Find a function for the velocity. em = Where does the velocity equal zero? [Hint: factor out the GCF.] . = C] am = [:1 Find a function for the acceleration of the particle. am = A particle is oscillating left and right along a straight line. The particle always begins by moving to the right. The position of the particle (in mm), in relation to its starting point, is defined by the function 1 8 303) = Zt\" 3233 + 61:2 Where t is seconds after it begins to move for 0 S t 0? Select an answer What does it mean if C '(m) = 0? Select an answer Determine how many units need to be produced in order for the cost to be neither increasing or decreasing. Round your answer to the nearest single unit, so a: = 1.5 would mean 1500 units. J Select an answer The cost is increasing. The cost is neither increasing or decreasing. The cost is positive. The cost is decreasing. The cost is negative. A stone is thrown straight up from the edge of a roof, has a height (in feet] described by h(t) = 16152 + 10t + 625 where t is seconds after the stone is thrown What is the velocity of the stone when it hits the ground (rounded to 2 decimal places)? Select an answer feet per second seconds per foot feet secondsJ Select an answer seconds per inch seconds per inch per inch inches per hour inches per second per second inches or second A mass attached to a vertical spring has position function given by 3(t) = 4 sin(t) where t is measured in seconds and s in inches. Find the velocity at time t = 3. Find the acceleration at time t = 3