Question

Randall is driving down a long steep hill (18°) at a steady 12.4 m/s?

A. What is his velocity after 5.7 second of driving?

B. What is his velocity in the x and y directions?

C. How far up the hill does he drive in 5.7 seconds?

D. What is his vertical displacement in those 5.7 seconds?

For each question be sure to do the Prepare step: visual representation with variables and axes, collect known values, identify unknown quantities. 1. Randall is driving down a long steep hill (18) at a steady 12.4 m/s? A. What is his velocity after 5.7 second of driving? B. What is his velocity in the x and y directions? C. How far up the hill does he drive in 5.7 seconds? D. What is his vertical displacement in those 5.7 seconds? 2. Celia Mae starts a ball rolling up a 4.5 hill on a planet whereg is half of that on Earth with a velocity of 3.2 m/s. Once she starts it moving, she just watches it roll. A. How far does the ball roll up the incline before it stops? B. How long does it take the ball to stop? C. How far does the ball roll up the incline in 2.5 seconds? 3. Mike is standing on the roof of a building looking at the roof of the neighboring building that is 15 meters away and 10 meters below him. He wants to throw a canister horizontally from one building to the other. His maximum throwing speed is 24.5 m/s. On this planet gis % of that on Earth. A. How long does it take the canister to reach the height of the neighboring building? B. How far does the canister travel horizontally in the time you got in part A? Does the canister make it to the other building? C. What is the velocity (magnitude and direction) of the canister after it has gone down 10m? 4. Sulley and Boo are playing at the park. Sulley throws Boo up in the air and catches her at the same height he releases her from. On this planet g is 1/3 of that on Earth. Sulley's maximum throwing speed is 4.3 m/s. A. What is Boo's vertical velocity just after she is released and just before she is caught, if she is thrown at 750? B. If Sulley throws Boo at an angle of 75*, how long is Boo in the air? C. With a 75º launch angle, how high does Boo go? D. How far, horizontally does Sulley need to run to catch Boo? 5. Roz is in a hurry to get home, so she is driving 35 m/s. She comes to a traffic circle with a diameter of 32 m that is empty, so she doesn't slow down. A. What acceleration does she need in order to go around the traffic circle? How does this acceleration compare to g on Earth? B. The next traffic circle can only be taken at an acceleration of 2.1 m/s or less. If it has a diameter of 23 m what is the maximum speed Roz can drive around it? 6. Mike, Sulley and Boo are in a race. They each run at a steady pace relative to the starting line, Mike at 2.9 m/s, Sulley at 1.1 m/s and Boo at 0.46 m/s. A. What are Mike's and Boo's velocity relative to Sulley? B. If the race is 50 m long, how far has Boo run when Mike finishes?

Answer 1

(A) Rondall is moving with steady gate so A velocity after 5.7 seconds = 12.4 m velocity in a direction - - r ces o = 12.4 x ces 18° = )):79 Velocity in y direction = al Sino (in downward direction) 12.4 Sin 18 = 3.83 my 128 c) lx = 11179 m/s lu = 3.83 aly = 3.83 mic downward direction) Distance Covered by Randall in 5.7 seconds D = ax t = 12.485.7 = 70 68m (d) Vertical displecement y = D sino = 70.68 Sin 18 = 21.84 m in down word direction?