Question

10. You are planning to make an open rectangular box from a 16-in. – by -20 in. piece of cardboard by cutting congruent squares from the corners and folding up the sides. What square side length, x, gives the box of largest volume you can make this way. Draw a picture. SHOW WORK.

X (2 decimal places): _______________________

11. Given the velocity ds/dt and initial position of an object moving along a coordinate line at position at time t, find the position equation. SHOW WORK

15. v = 16t + 2, s(0) = 12

Position Equation: _________________

12. Given the acceleration, initial velocity, and initial position of an object moving on a coordinate line, find the object’s position and velocity equations at time t. SHOW WORK. a=e^t,v(0)=2,s(0)=5

Position Equation: ________________Velocity Equation: ________________

Answer 1