Tutoring Questions

et N A truck is cruising on a rural road when the driver notices a moose 54.0 m away blocking the road. "2~ ~-rer slams the brakes causing the truck to slow down at a constant rate of 3.90 m/s* for 4.90 s before coming in contact with the moose. a. What is the initial speed (in km/h) of the truck? b. Determine the speed (in km/h) of the truck as it hits the moose. c. Do you think the animal is seriously hurt in this accident?

A 108 m long train starts from rest (at ¢ = 0) and accelerates uniformly. At the same time, a car moving with constant velocity in the same direction is in line with the rear end of the train, as shown in Figure A1.06. At ¢t = 12.0s the car reaches the front end of the train. However, the train continues to speed up and pulls ahead of the car. At t = 30.0s, the car is left behind the train. Calculate a. the car's speed. b. the train's acceleration. t=230s i:l:l:l:ll:ll:]h t=12s - \:H:l!:l:l:l:l.d: t=20 -y i:ll:l:ll::fl:l‘- - - - - (m) 0 200 400 Figure A1.06 Aball is released from the top S°M°" ) m high building. At the same instant a second ball is shot straight up from the ground with an initial speed of 20.0m/s, directly below the point where the first ball was dropped. Ignore air drag and calculate a. the height above the ground where the balls collide. b. the velocity (magnitude and direction) of each ball just before the collision.

Three vectors A, B, and C each has a magnitude of 40.0 units. Their directions relative to the positive z axis are 30.0°, 90.0°, and 120°, respectively. Using analytical methods, calculate the magnitude and direction of the following combinations, a.A+B-C. b.2(A +C) — 3B. Afe solution gg the terminal and travels 124 km in a direction 12.0° north of west to island A. After a short stop, the ferry travels 85.4 km in a direction 26.0° west of south to island B. The ferry then completes the round trip by returning directly to the terminal. a. Draw a vector diagram that describes the entire journey. b. What is the displacement (magnitude and direction) of the ferry in the last trip?