20.A bike rider accelerates constantly to a velocity of T.5 mls during 4.5 s. The bike's distance is 19m. What is the initial velocity of the bike? 21. If a bullet leaves the muzzle of a rifle with a speed of 600 mls, and the barrel of the rifle is 0.9 m long, what is the acceleration of the bullet while in the barrel? 22. Randy Johnson hits a baseball straight into the air, giving it a \"hang-time\" of 6.25 5. Determine the initial velocity of the ball. 23. If Michael Jordan has a vertical leap of 1.29 m, then what is his takeoff speed? Answers: Intro to Kinematics: 1) magnitude, magnitude, direction 2) straight line 3) Less 4) V: displacement, force, 20m/s[N], velocity, 50m[down], 9.8m/s2[down], acceleration, 10km[SW] S: 1kg, 10km/hr, distance, 200km, 5hours, 40L, mass, speed 7) change 8) 10,0,15,-5,-10,5 9)1km[N] 10)0.5m[S] 11)+3.5m 12)58m[31 WofN] or 58m[59 NofW] 13)600.km, 447[27 WofN] Velocity 4)2.7m/s[E] 5)91[W] 6)30.s 8)21m/s 9)70km/h 10)35km/h,9.6m/s 11)40.km[E] 12)+5m, +2m/s Graphing Motion: Ba) no, y-intercepts are different b) B c) A d) A has a steeper slope e) A and B are at the same position 4)2.5s,5s,20m, 10m,4m/s,2m/s 5) a) Os,32s,55s b) 15-20s c) 20-40s d) 4m/s, 5m/s e) 3m/s f)0, 3.6m/s 6. The ball doesn't move at first. Then it moves backwards and then finally stops. position thiri 7 . Time (al 8. Timeis 9. Acceleration: 5)m, s, m/s, m/s2 6)11m/s 7)7m/s 8)4.0s 12)0.82s 14)23m/s[down] 15) pos, neg, neg, pos, pos 17) a)pos, inc, pos b) neg, dec, neg c) pos, dec, neg d) neg, inc, pos 18) velocity, velocity Graphing with Acceleration: 5)12.5m/s2 6/7)parabola, linear 8)a)perhaps at 0 minutes b)0,30,55min c)30-55min d)60m/min,6m/min2 9)50m 10)50m Problem Solving 1) 77.5 m/s2 2) a=0.278m/s2 3) 1.44x105 m 4) 80.s 5)2470m 6)0.87m/s2 [opposite] 7)2.9 s 8)80s 9)1.65s 10)53.3km/h or 14.8m/s 11)115m 12)0.625h, 133km/h 13) 225m 14) 6.3m/s[right] 15)0.46m/s2 16)59m/s[down] 17)5.0m/s2 18)4.0m/s 19)250m 20)0.94m/s 21)2x105 m/s2 22)30.6m/s 23)5.0m/s15. A bus traveling at 80.0 km/h accelerates for 12 s to a speed of 100. km/h. What was the acceleration? Show all work as demonstrated in the lessons. 16. A small stone is dropped and spends 6.0 seconds in the air until it strikes the ground. What speed is it moving when it reaches the ground? Show all work as demonstrated in the lessons. 17. A cyclist, starting from rest, achieves a speed of 15 m/s after traveling 22.5 m. What was the acceleration? Show all work as demonstrated in the lessons. 18. A child on a toboggan slides down a snowy hill, accelerating uniformly at 2.8 m/s2. When the toboggan passes the first observer, it is travelling with a speed of 1.4 m/s. How fast will it be moving when it passes a second observer, who is 2.5 m downhill from the first observer? Show all work as demonstrated in the lessons. 19. A formula 1 race car travelling at 100. m/s can decelerate at 20. m/s2. How far in advance must the brakes be applied to come to a stop?1. Refer to the \"Plotting Data\" lesson (end of "Patterns to Notice") and plot the "Skydiver Velocity vs. Time\" data (taken from the video) on the following graph. to c) d) e) f) 9) Which is the independent variable? Which is the dependent variable? _ Title and units for the xaxis = . . (make sure included on graph) Title and units for the y-axis = ' ' (make sure included on graph) Overall title of graph = ' (make sure included on graph) Connect the points in each distinct region with a series of "best t lines\" to represent your data. 2. Determine the slope of the graph (show all work and include units) at the different portions of the flight. a. Determine an approximate slope in the t = 3-9 second range (show all work): b. Determine an approximate slope in the t = 12-16 second range (show all work): 0. Determine an approximate slope in the t = 19-24 second range (show all work): d. What do you think the slope represents? Try to explain how this makes sense in the ranges above. No \"wrong answers" answers here as long as some thought is shown. 3. Graph the same data using a spreadsheet. Include a printout of both the table and the graph along with your Learning Guide when you submit