Two boats are separated by a distance of 60 meters. The boats
start a rest and accelerate towards each other at a constant rate
of 1 m/s2.
A dolphin starts mid-way between the two boats, swimming from one
boat to the other at a constant speed of 14 m/s. The dolphin
continues swimming back and forth between the boats until the boats
crash together.
What is the total distance the dolphin travelled?
What is the speed of the boats when they crash together?
Two boats are separated by a distance of 60 meters. The boats start a rest and...
Two boats -- Boat A and Boat B -- are anchored a distance of 13.8 meters apart. The incoming water waves force the boats to oscillate up and down, making 8 complete cycles every 27.7 seconds. When Boat A is at its peak, Boat B is at its low point. There is one crest between the two boats. The vertical distance between Boat A and Boat B at their extreme is 10.4 meters. Determine the wavelength of the wave in...
Two boats -- Boat A and Boat B -- are anchored a distance of 15.1 meters apart. The incoming water waves force the boats to oscillate up and down, making 5 complete cycles every 27.7 seconds. When Boat A is at its peak, Boat B is at its low point. There is one crest between the two boats. The vertical distance between Boat A and Boat B at their extreme is 11.3 meters. Determine the wavelength of the wave in...
Two boats, each with a mass 140.0 kg and length 4.00m are just touching each other. There is a gap between boat #1 and a wall that is 1.5 m. A man (70.0 kg) standing on boat #1 decides to step onto boat 2. As a result, both boats start to move. When boat #1 hits the wall, how far are the two boats separated?
Two cars start from rest at a red stop light. When the light turns green, both cars accelerate forward. The blue car accelerates uniformly at a rate of 5.6 m/s2 for 3 seconds. It then continues at a constant speed for 7.8 seconds, before applying the brakes such that the car’s speed decreases uniformly coming to rest 178.16 meters from where it started. The yellow car accelerates uniformly for the entire distance, finally catching the blue car just as the...
Consider two positive charges separated by a distance 0.30 meters. One charge has a value of 5 mC (milli-coulombs) and is located to the right of the other 6 mC charge. Assume the left charge is the origin and the other charge is located with a positive horizontal position. How large and in what direction is the electrostatic field at the mid-point, directly between the two charges? Use i-notation for the direction.
6. Two rockets start from rest at the same elevation. Rocket A accelerates vertically at 20 m/s for 12 s and then maintains a constant speed. Rocket B accelerates at 10 m/s2 until reaching a constant speed of 150 m/s a. Construct the a-t, v-t, and s-t graphs for each rocket until t20 s b. What is the distance between the rockets when t 20 s?
Two cars start from rest at a red stop light. When the light turns green, both cars accelerate forward. The blue car accelerates uniformly at a rate of 3.9 m/s2 for 4.7 seconds. It then continues at a constant speed for 10.2 seconds, before applying the brakes such that the car's speed decreases uniformly coming to rest 254.16 meters from where it started. The yellow car accelerates uniformly for the entire distance, finally catching the blue car just as the...
Two balls are separated by an some vertical distance h (in meters) from each other. The first ball is thrown down with an initial velocity voi = -3.0 m/s and the other one is thrown up from the ground with an initial velocity vo2 = 3.0 m/s at the same time the other is thrown. How far, in meters, must they be separated so they hit the ground at the same time?
A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 22.5 m/s , and the distance between them is 55.0 m . After t1 = 5.00 s , the motorcycle starts to accelerate at a rate of 8.00 m/s2 . The motorcycle catches up with the car at some time t2. How long does it take from the moment when...
A tortoise and hare start from rest and have a race. As the race begins, both accelerate forward. The hare accelerates uniformly at a rate of 1.4 m/s2 for 4 seconds. It then continues at a constant speed for 11.4 seconds, before getting tired and slowing down with constant acceleration coming to rest 84 meters from where it started. The tortoise accelerates uniformly for the entire distance, finally catching the hare just as the hare comes to a stop. 4)...