This problem requires us to determine the time in the air, maximum height, and the horizontal distance (range) when the gravitational acceleration is changed.
Since the takeoff and landing are at the same height, this is a symmetrical launch problem.
For projectile motion problems in general, we'll follow these steps to solve:
In step 2, for the special case of a symmetrical launch, we also have equations for the time in air, horizontal distance traveled, also called the range, and maximum height of the projectile:
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 gMars is 0.379 of its earth value, find her...
(a) time in the air.
(b) maximum height.
(c) horizontal distance.
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Symmetrical Launch concept. You can view video lessons to learn Symmetrical Launch. Or if you need more Symmetrical Launch practice, you can also practice Symmetrical Launch practice problems.