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. Martian Athletics. In the long jump, an athlete launches
Chapter 3, Problem 3.48(choose chapter or problem)
In the long jump, an athlete launches herself at an angle above the ground and lands at the same height, trying to travel the greatest horizontal distance. Suppose that on earth she is in the air for time T, reaches a maximum height h, and achieves a horizontal distance D. If she jumped in exactly the same way during a competition on Mars. where \(g_{Mars}\) is 0.379 or its earth value. find her time in the air, maximum height, and horizontal distance. Express each of these three quantities in terms or its earth value. Air resistance can be neglected on both planets.
Questions & Answers
QUESTION:
In the long jump, an athlete launches herself at an angle above the ground and lands at the same height, trying to travel the greatest horizontal distance. Suppose that on earth she is in the air for time T, reaches a maximum height h, and achieves a horizontal distance D. If she jumped in exactly the same way during a competition on Mars. where \(g_{Mars}\) is 0.379 or its earth value. find her time in the air, maximum height, and horizontal distance. Express each of these three quantities in terms or its earth value. Air resistance can be neglected on both planets.
ANSWER:Step 1 of 3
Let u is the launch speed and is an angle of launch.
So, the time of flight written as,
The maximum height is,
The horizontal distance is,