SOLUTION: A student throws a water balloon vertically downward from the top of a 50.0 m tall building. The balloon leaves the thrower's hand with a speed of 5.55 m/s. Air resistance is ign

Algebra ->  Trigonometry-basics -> SOLUTION: A student throws a water balloon vertically downward from the top of a 50.0 m tall building. The balloon leaves the thrower's hand with a speed of 5.55 m/s. Air resistance is ign      Log On


   

Question 1165049: A student throws a water balloon vertically downward from the top of a 50.0 m tall building.
The balloon leaves the thrower's hand with a speed of 5.55 m/s. Air resistance is ignored.
a. How far does it fall in a time of 1.70 s?
b. What is the velocity of the balloon as it reaches the ground?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Evaluate the height function, where and is the height of the building.



This gives you the height at the specified time. As long as this value is less than the height of the building, subtract the height at that time from the height of the building to determine the distance fallen.

Instantaneous velocity is the derivative of the height function evaluated at the time when the height is zero.

Solve the quadratic:



to find the elapsed time when the balloon hits the ground, .






Evaluate the derivative at

John

My calculator said it, I believe it, that settles it