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1. 2. 3. 4. A motorist starts from rest, and accelerates uniformly, covering a distance of 70.0 m in a time of 10.0 s. a. Find the acceleration of the motorist. b. Find the final velocity of the motorist. A hiker starts from home, and travels cast for 7.0 km. She then turns and heads [N 30° E] for 5.0 km. The entire trip takes 1.5 hr. a. Find the resultant displacement of the hiker. (magnitude & direction) b. Find the hiker's average speed for the trip. c. Find the hiker's average velocity for the trip. A swimmer who can swim at 4.0 m/s in still water sets out due north to cross a river with a current of 2.5 m/s [E]. The river is 50.0 m wide. a. Find the velocity of the swimmer relative to the shore. (magnitude & direction) b. Find the time required to cross the river. c. If the swimmer wants to land directly opposite the starting point, in what direction should they set out? d. In this case (ie c), how long would it take to cross the river? A rock is thrown from a cliff of height 45.0 m with an initial velocity of 12.0 m/s at an angle of 30.0° above the horizontal. a. Find the time until the rock strikes the ground below. b. Calculate the distance from the base of the cliff to the landing point. (ie horizontal distance) c. Find the velocity of the rock (magnitude & direction) the instant before it strikes the ground.
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