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Given:-
+y-axis is notes as north direction
-y axis is notes as south direction
+x axis is notes as east direction
-x axis is notes as west direction
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- 3. • As you walk to class with a constant speed of 1.75 m/s, youare moving in a direction that is 18.0° north of east. How muchtime does it take to change your displacement by (a) 20.0 or (b) 30.0 m north?Problems • 1. A motorcycle stunt rider rides off the edge of a cliff. Just at the edge his velocity is horizontal with magnitude 5.0 m/s. Find the rider velocity and position after 1/4seconds.71. ••Marcus and Cody want to hike to a destination 12 km north of their starting point. Before heading directly to the destination, Marcus walks 10 km in a direction that is 30° north of east and Cody walks 15 km in a di- rection that is 45° north of west. How much farther must each hike on the second part of the trip?
- 43. ••An object experiences a constant acceleration of 2.0 m/s? along the -x axis for 2.7 s, attaining a velocity of 16 m/s in a direction 45° from the +x axis. Find the initial velocity vector of the object.44. ••Cody starts at a point 6 km to the east and 4 km to the south of a location that represents the origin of a coordinate system for a map. He ends up at a point 10 km to the west and 6 km to the north of the map origin. (a) Find his average velocity if the trip took him 4 h to complete. (b) Cody walks to his destination at a constant rate. His friend Marcus covers the distance with a combination of jogging, walking, running, and resting so that the total trip time is also 4 h. How do their aver- age velocities compare?46. •An object undergoing parabolic motion travels 100 m in the horizontal direction before returning to its initial height. If the object is thrown initially at a 30° angle, determine the x component and the y component of the initial velocity. (Neglect any effects due to air resistance.)
- Component and polygon method. -You walk 20. blocks north, then 10. Blocks East, then 18 blocks South. What is your displacement?•-A certain river has a current that flows at 2.0 m/s West. If you point your boat, which can move at 5.0 m/s, directly across the stream to the North, what is your resultant velocity?81. •Astro The froghopper, a tiny insect, is a remarkable jumper. Suppose you raised a colony of the little critters on the Moon, where the acceleration due to gravity is only 1.62 m/s?. If on Earth a froghopper's maximum height is b and maximum horizontal range is R, what would its maximum height and range be on the Moon in terms of h and R? Assume a froghopper's takeoff speced is the same on the Moon and on Earth.86. •Medical Modern pilots can survive radial accel- crations up to 9g (88 m/s*). Can a fighter pilot flying at a constant specd of 500 m/s and in a circle that has a diameter of 8800 m survive to tell about his experience?
- 24. •• The initial velocity of a car, V₁, is 45 km/h in the positive x direction. The final velocity of the car, V , is 66 km/h in a direction that points 75° above the positive x axis. (a) Sketch the vectors - V₁,₁,and AV = V₁-₁. (b) Find the magnitude and direction of the → f- change in velocity, AV.• We learned the set of 1D-Kinematic equations that describe the Uni- formly Accelerated Motion to be structured as "position as a function of time", "velocity as a function of time", and acceleration = constant. It is possible with some maths to make an equation WITHOUT time that re- lates jsut the distance traveled, the uniform acceleration and the speed at the beginning at the end. This equation is: 2 ad = v – vố (1) where a is the said acceleration, d is the distance, and vo and vf are the initial and the final speed respectively. For an alternative notation follow the link: 1D-Kinematics The point of this homework is not to learn a new equation, but to practice equation properties in a new format. • State the units on the LHS and the RHS. Do they match up? • As you see the person (me) throwing the stone how much is the FINAL velocity? Restate the equation (1) with that information mind: • If you did everything right then you end up with your RHS NEGATIVE (!). That means that the…79. •Sports Gabriele Reinsch threw a discus 76.80 m on July 9, 1988, to set the women's world record. Assume that she launched the discus with an elevation angle of 45°, and that her hand was 2.0 m over the ground at the instant of launch. What is the initial speed of the discus required to achieve that range? (Neglect any effects due to air resistance.) SSM