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- You are traveling to the North-East at 50 m/s. Simultaneously you are being pushed towards the East at a speed of 10 m/s. a. If you proceed in this manner for 10 minutes, what is the displacement vector from the t=0 location? b. How far do you travel in the East direction during these 10 mins.?A ball has an initial velocity of 160 m/s at an angle of 30 degrees horizontally. This means that the initial vertical velocity of 80m/s and its initial horizontal velocity is 139m/s. Find its position and velocity after 5 seconds. a. Horizontal Displacement b. Find the Vertical Displacement c. Horizontal and Vertical Component of Velocity2. A man walks westward on ship with a speed of 4 km/hr. The ship’s propeller drives it 15 km/hr south. What is the actual speed of the man relative to the earth? What is the direction of its velocity?
- A dolphin wants to swim directly back to its home bay, which is 0.800 km due west. It can swim at a speed of 4.20 m/s relative to the water, but a uniform water current flows with speed 2.83 m/s in the southeast direction. a. What direction should the dolphin head? Enter the angle in degrees where positive indicates south of west and negative indicates north of west. anser in degrees b. How long does it take for the dolphin to swim the 0.800-km distance home? answer in minAn archer fish spies a meal of a grasshopper sitting on a long stalk of grass at the edge of the pond in which he is swimming. The fish is to successfully spit at and strike the grasshopper, which is 0.200 m away horizontally and 0.745 m above his mouth. a. What is the minimum speed at which the archer fish must spit? answer in m/s b. What angle (in degrees) above the horizontal must he spit? answer in degreesAn Alaskan rescue plane drops a package of emergency rations to a stranded party of explorers. If the plane is traveling east at 40 m/s and is 100 meters above the ground: a.Using the release point as the origin, find the time it takes for the package to reach the ground once released. b.How far east of the release point does the package strike the ground? Also, What is the speed of the package as it hits the ground? c.With what angle (below the horizontal) does the pack strike the ground? Please show work for all of the parts.
- 7. A projectile is fired horizontally at 9 m/s from a 7.2 m high wall. a. Find its speed when it reaches the ground. b. At what angle does it hit the ground?8A firework is launched with an initial velocity of 30 m/s at an angle of 65 degrees with respect to the horizontal. The horizontal component of the firework’s velocity, just before it reaches the peak of its motion (where it will explode). b. The vertical component of the firework’s velocity, at a time 0.5 seconds after it was launched. c. The magnitude and direction of the acceleration of the rocket, at a time 0.5 seconds after it was launched.