Greenville Technical College Physics Problems

Question Description

I’m working on a physics question and need guidance to help me study.

1)A fish swimming in a horizontal plane has velocity v with arrowi = (4.00 î + 1.00 ?) m/s at a point in the ocean where the position relative to a certain rock is r with arrowi = (12.0 î ? 4.20 ?) m. After the fish swims with constant acceleration for 17.0 s, its velocity is v with arrow = (19.0 î ? 1.00 ?) m/s.(a) What are the components of the acceleration of the fish?(b) What is the direction of its acceleration with respect to unit vector î?(c) If the fish maintains constant acceleration, where is it at t = 26.0 s?In what direction is it moving?

2)A boy stands on a fishing pier and tosses a pebble into a pond. The pebble is thrown from a height of 2.50 m above the water surface with a velocity of 4.65 m/s at an angle of 60.0° above the horizontal. As the pebble strikes the water surface, it immediately slows down to exactly half the speed it had when it struck the water and maintains that speed while in the water. After the pebble enters the water, it moves in a straight line in the direction of the velocity it had when it struck the water. If the pond is 2.00 m deep, how much time elapses (in s) between when the pebble is thrown and when it strikes the bottom of the pond?

3)Lisa in her Lamborghini accelerates at the rate of (2.80î ? 4.40?) m/s2, while Jill in her Jaguar accelerates at (1.20î + 4.00?) m/s2. They both start from rest at the origin of an xy coordinate system. After 5.00 s, find the following.(a) What is Lisa’s speed with respect to Jill?(b) How far apart are they?(c) What is Lisa’s acceleration relative to Jill?

4)A soccer player kicks a rock horizontally off a 46 m high cliff into a pool of water. If the player hears the sound of the splash 3.21 s later, what was the initial speed given to the rock (in m/s)? Assume the speed of sound in air is 343 m/s.What If? If the temperature near the cliff suddenly falls to 0°C, reducing the speed of sound to 331 m/s, what would the initial speed of the rock have to be (in m/s) for the soccer player to hear the sound of the splash 3.21 s after kicking the rock?

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