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(1 point) A new landowner has a triangular piece of land that she wishes to fence. Starting at the westmost corner she measures the first side to be A = 80 m long and the next side to be B = 105 m long as shown in the figure below. She correctly calculates the length and orientation of the third side. What is her result? Include units as appropriate below. y C B 119 210 X A C = 0 =(1 point) Blood is accelerated by the left ventricle of the heart from rest to a speed of 31.0 cm/s in a distance of 1.85 cm. How long does this acceleration take? Include units as appropriate.(1 point) A student drove to university from her home and noted that the odometer reading of her car increased by 15 km. The trip took 18 min. Include units as appropriate below. (a) What was her average speed? average speed1 = (b) If the straight-line distance from her home to the university is 10.8 km in a direction 25" south of east, what was her average velocity measured counterclockwise from the south direction? V1jav = angle = in compass direction (c) If she returned home by the same path that she drove there, 7 h 30 min after she first left, what was her average speed and average velocity for the entire round trip? average speed = Vav -point) person heads out for an evening stroll down their street and wants to determine how far away and in what direction they ended up from their home at the end of their walk. y 4 B N R e B W E A S X Vector A represents the first leg of a walk in which the person walks 55.0 m in a direction 04 = 20.0 north of east. Vector B represents the second leg, a displacement of 34.0 m in a direction #g - 55.0' north of east. What is the person's final displacement from their starting position measured counterclockwise from the east direction? Use the analytical/mathematical approach to solve this question. Include units as appropriate below. R = 0 = in compass direction(1 point) A very strong, but inept, shot putter putts the shot straight upwards with an initial speed of 10.4 m/s. How long does he have to get out of the way after the shot was released 2.10 m above the ground, if he is 1.80 m tall? Treat the effect of air resistance to be negligible. Include units as appropriate. t=1 point) You drive 7 km in a straight line 65% east of north (a) Find the distance you would have to drive straight east and then straight north to arrive at the same point. (This determination is equivalent to finding the components of the total distance along the east and north directions.) Include units as appropriate. d = (b) Would this take the same value if you first drive straight north and then straight east? OA. Yes OB. No(1 point) A light-rail commuter train accelerates from rest at 1.35 m/s to its top speed of 60 km/h. Include units as appropriate below. (a) How long does it take the train to reach its top speed under these conditions? t1 = (b) The same train ordinarily slows from its top speed with a deceleration of 1.7 m/s'. How long does it ordinarily take the train to come to a stop from this speed? to = (c) In emergencies, the engineer can activate the train's emergency brakes and decelerate more rapidly, coming to a rest from its top speed in 8.3 s. What is the train's deceleration under these emergency conditions? a = (d) If the train is originally traveling at its top speed, how far does the train travel after applying the emergency brakes? Ac =(1 point) A rugby player passes a ball 6.5 m across a field to a teammate, where it is caught at the same height as it left his hand. Treat the effect of air resistance to be negligible. Include units as appropriate below. (a) At what angle above the horizontal was the ball thrown if its initial speed was 12 m/s, assuming the smaller of the two possible angles was used? 01 = (b) What other angle above the horizontal would give the same range? 02 = (c) Determine the difference in flight times between these two trajectories. What is this value? At =For each of the following paths below find the: (a) the displacement from start to finish, (b) the magnitude of the displacement from start to finish, and (c travelled. Treat each increment of position to be one metre. Include units as appropriate below. A B C D 0 2 4 6 8 10 12 Position (m) Path A: At = distance = Path B: Ac = distance = Path C: Ar = distance = Path D: Ac = | ADI= distance =