1. [-I4Points] ETAILS l MYNOTES ll ASKYOURTEACHER l The height of an object launched straight up is h(t) = 100 + 64t 16t2 where t is measured in seconds and his measured in feet. Answer the following questions. All answers must have correct units and must be accurate to two decimal places. How high is the object when t = 5 seconds? How fast is it moving when t = 5 seconds? [: When is the height exactly 5 feet? (Assume t > 0.) :3 When is the velocity exactly 5 ftfsec? Submit Answer 2. [5 Points] ETAILS MY NOTES ASK YOUR TEACHER The electric potential in a circuit is given by m) = 32091\" where t is measured in seconds and V is measured in volts. Answer the following, with correct units. When is the potential equal to 150 volts? Be accurate to 4 decimal places. H How fast is Vchanging at that instant in time? Be accurate to one decimal place. H When is the voltage changing at 50 volts per second? Be accurate to 4 decimal places. IH Submit Answer 3. [l2 Points] DETAILS MY NOTES ASK YOUR TEACHER The height of a Falling object is given by h(t) = 400 39r 157e-0-25r where t is measured in seconds and h is measured in feet. Answer the following questions, with correct units. To 2 decimal places, when is its velocity 730 ftfs? [: How high is the object at that instant? Round to the nearest foot. . Submit Answer 4. [-12 Points] DETAILS MY NOTES ASK YOUR TEACHER Water is draining out of a tank. The volume of water remaining in the tank is m) = 10 7 a with Vin liters and t in minutes. Answer the following questions. All answers must have correct units and must be accurate to two decimal places. At the instant when the ow rate is 7 2 l/min, how much water is left in the tank? H Find the flow rate at the instant when there is exactly 1 liter of water left in the tank. It Submit Answer 5. [I1Points] l DETAILS I I MYNOTES ll ASKYOURTEACHER I An object is launched straight upward from a platform. Its height above ground is h(t) : 3 + vot 7 4.9m2 where h is in meters and t is in seconds. The symbol v0 is an unknown constant. The velocity of the object is 0 at the instant when t = 2 seconds. Compute V0. V0:[ I Your answer should be accurate to 1 decimal place. If you are not sure how to determine the units, click here. Submit Answer 6. [11 Points] DETAILS MY NOTES ASK YOUR TEACHER An object is launched straight upward from a platform. Its height above ground is h(t) = no + 23: 7 4.9:2 where n is in meters and t is in seconds. The symbol ho is an unknown constant. The object hits the ground when t : 5 seconds. Compute ho. Your answer should be accurate to 1 decimal place. If you are not sure how to determine the units, click here. Submit Answer 7. [-11 Points] DETAILS | MY NOTES ll ASKYOURTEACHER I An object is launched straight upward from a platform 10 feet above ground. Its height above ground as a function of time is h(t) = 10 + 50: + %at2 where h is in feet and t is in seconds. The symbol a is an unknown constant. Suppose you know that h'(1.25) = 9.75 ftfs. Find a, accurate to 1 decimal place. a: U Submit Answer 8. [12 Points] DETAILS MY NOTES ASK YOUR TEACHER An object is launched straight upward from a platform. Its height is h(t) = no + th 7 15.1:2 where n is in feet and t is in seconds. Both no and V0 are unknown constants. At the instant I = 1.5 seconds you know that the height is 50 feet and the velocity is 0. Find both unknown constants, accurate to 1 decimal place. Submit Answer 9. [-11 Points] DETAILS MY NOTES ASK YOUR TEACHER The pressure in a cylinder is given by P(t) = 101 + where P is in kilopascals (WebAssigh abbreviation kPa) and t is in minutes. Assume that t 2 1 and k is constant. At time t = 7.5 minutes the pressure is changing at 1.35 kPaimin. Find k. Your answer should be accurate to 1 decimal place and must include units. If you are not sure how to enter unusual combinations of units, click here. Submit Answer 10. [-11 Points] DETAILS I MY NOTES ll ASKYOURTEACHER I The electrical potential in a circuit is given by 'l/(t) = vou era-1f) where V is in volts, t is in seconds, and V0 is constant. Potential is changing at 2.75 volts/sec at the instant t = 1 second. Find V0, accurate to 1 decimal place. If you use this method to think about units, you may nd it useful to know the following FACT: The output of an exponential function must be dimensionless. I.e., it has no units. Su bmil Answer 11. [-12 Points] D TAILS MY NOTES ASK YOUR TEACHER The electrical potential in a circuit is given by V(t) = 15 7 15e-kt where V is in volts, t is in seconds, and k is constant. When t = O the rate of change of potential is 6.9 volts/sec. Find the rate of change 3 seconds later, accurate to 2 decimal places. l; Find k, accurate to 2 decimal places, with correct units. You may find it useful to know... FACT: The input to an exponential function must be dimensionless. ].e., it has no units. Submil Answer 12. [-12 Points] DETAILS MY NOTES ASK YOUR TEACHER An object is launched straight upward from a platform above ground. Its height is nu) = 10 + v0: 4.9:2 where h is in meters and t is in seconds. It hits the ground with a velocity of 25.0 m/s. Find v0, accurate to 1 decimal place. Von ] When did it hit the ground? Be accurate to 2 decimal places. l: 13. [-12 Points] DETAILS MY NOTES ASK YOUR TEACHER An object is launched straight upward from a platform. Its height above ground is h(t) = n0+ vnt 7 16.1t2 where h is in feet and t is in seconds. The graph of h is shown below. h (ft) 126 2.5 t (3) Find both unknown constants, accurate to 1 decimal place. Submil Answer 5U bn'llt An swer 14. [-12 Points] DETAILS MY NOTES ASK YOUR TEACHER The pressure in a cylinder is given by Pm = 101 + i t where P is in kilopascals (WebAssign abbreviation kPa) and t is in minutes. Assume that t 2 1 and k is constant. At the instant when pressure is 114 kPa, it is changing at 70.85 kPa/min. When does this happen? Be accurate to 1 decimal place. i: What is the pressure when t = 1 minute? Round to the nearest kilepascal. Submit