Motion in Two Dimension- Physics Help!!! pleease?
1.) Two girls decide to jump off a diving board. Katherine steps off the diving board. Anna runs straight off the diving board so that her initial velocity is solely horizontal. They both leave the diving board at the same time. Which one lands in the water first?
2.) In a visit to the nation’s capital, a foreign head of state travels from (−3.0, −4.0) km to (4.0, 7.0) km. She then travels with a displacement of (−5.0, -3.4) km. Calculate the her total displacement over the course of the trip.
3.) An irresolute boater drives south at 28 km/h for a half hour, pauses for 5 minutes, and then drives east for 45 minutes at 32 km/h. State his displacement vector in kilometers using rectangular coordinates. Use the convention that north and east are positive.
4.) A golf ball is launched at a 37.0° angle from the horizontal at an initial velocity of 48.6 m/s. State its initial velocity in rectangular coordinates.
5.) The displacement vector for a 15.0 second interval of a jet airplane’s flight is (4050, −2430) m. (a) What is the magnitude of the average velocity? (b) At what angle, measured from the positive x axis, did the airplane fly during this time interval? Express the angle as a number between −180° and +180°
6.) A friend throws a baseball horizontally. He releases it at a height of 2.0 m and it lands 21 m from his front foot, which is directly below the point at which he released the baseball. (a) How long was it in the air? (b) How fast did he throw it?
7.) A cannon mounted on a pirate ship fires a cannonball at 125 m/s horizontally, at a height of 17.5 m above the ocean surface. Ignore air resistance. (a) How much time elapses until it splashes into the water? (b) How far from the ship does it land?
8.) A juggler throws a ball with an initial horizontal velocity of +1.1 m/s and an initial vertical velocity of +5.7 m/s. What is its acceleration at the top of its flight path? Make sure to consider the sign when responding. Consider the upward direction as positive.
I am not a physics major…and i dont have the book…and i am really bad at it..any help is greatly appreciated…thanks…
They both land in the water at the same time. Because they both start with the same vertical velocity, they take the same time to fall the same distance.
2) Displacement is distance moved from the start = √ 1^2 + 0.6^2 = 1.17 km at 31˚ to the x axis in the negative x direction.
6) Time to fall 2m = √ 2 . 2 / 9.8 = 0.64s
b) v = 21 / 0.64 = 32.9 m/s
This is a trick question. The acceleration is just the acceleration due to gravity. since the initial velocity upwards is called positive, the downward acceleration from the gravity force has to be negative. The answer is –9.8 m/s/s
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