BehindEnemyLines
Senior member
I found these in a book, and it's been awhile since I last took physics.
1. A ball is dropped at rest into a well. You hear a "splash" 3.00s later after release. What's the depth of the well? Assume velocity of sound = 336 m/s.
2. A train travels b/t 2 stations. The train never reaches its max cruising speed b/c the stations are only 1.00 km apart. During rush hr the engineer minimizes the time interval "delta t" b/t 2 stations by accelerating for a time interval "delta t sub 1" @ a rate of "a sub 1" = 0.100 m/s^2 & then immediately braking w/ acceleration "a sub 2" = -0.500 m/s^2 for a time interval "delta t sub 2".
Find the minimum time interval of travel "delta t" and the time interval "delta t sub 1".
3. Requires knowledge of calculus II I believe. The accel. of a marble in a certain fluid is proportional to the speed of the marble squared, and is given (in SI units) by a = -3.00v^2 for v > 0. If the marble enters this fluid w/ a speed of 1.50 m/s, how long will it take before the marble's speed is reduced to half of its initial value?
1. A ball is dropped at rest into a well. You hear a "splash" 3.00s later after release. What's the depth of the well? Assume velocity of sound = 336 m/s.
2. A train travels b/t 2 stations. The train never reaches its max cruising speed b/c the stations are only 1.00 km apart. During rush hr the engineer minimizes the time interval "delta t" b/t 2 stations by accelerating for a time interval "delta t sub 1" @ a rate of "a sub 1" = 0.100 m/s^2 & then immediately braking w/ acceleration "a sub 2" = -0.500 m/s^2 for a time interval "delta t sub 2".
Find the minimum time interval of travel "delta t" and the time interval "delta t sub 1".
3. Requires knowledge of calculus II I believe. The accel. of a marble in a certain fluid is proportional to the speed of the marble squared, and is given (in SI units) by a = -3.00v^2 for v > 0. If the marble enters this fluid w/ a speed of 1.50 m/s, how long will it take before the marble's speed is reduced to half of its initial value?