Free fall problem with an extra variable

In summary, Jane is riding in a hot air balloon and drops a rock from a height of 50m while traveling upwards at a constant speed of 3m/s. Using g=10m/s2 and considering the up direction as positive, the rock will take the same amount of time to reach the water as if it were thrown straight up from a platform 50m above the ground.
  • #1
mwhowell
17
0

Homework Statement



Jane is riding in a hot air balloon that is rising vertically at a constant speed of
3m/s over a lake. She reaches out and drops a rock from the balloon when the
distance from the rock to the water is 50m. Use g=10m/s2, and let the up
direction be positive.
How long after Jane drops the rock will it splash into the water?

Homework Equations





The Attempt at a Solution



I know how to do this problem but I was wondering if the fact that Jane is traveling upwards has an effect on the free fall of the rock.
 
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  • #2
It just means the rock has an initial velocity of 3m/s upward. It's really a projectile problem. It's the same thing as standing on a platform 50m above the ground and throwing the rock straight up.
 

What is a free fall problem with an extra variable?

A free fall problem with an extra variable is a physics problem that involves an object falling under the influence of gravity while also considering another variable, such as air resistance or initial velocity.

What is the formula for calculating free fall with an extra variable?

The formula for calculating free fall with an extra variable is d = 1/2 * g * t2 + v0 * t + d0, where d is the distance traveled, g is the acceleration due to gravity, t is the time, v0 is the initial velocity, and d0 is the initial distance.

How do you solve a free fall problem with an extra variable?

To solve a free fall problem with an extra variable, you must first identify the given variables and the unknown variable. Then, use the formula d = 1/2 * g * t2 + v0 * t + d0 to set up an equation and solve for the unknown variable.

What is the value of acceleration due to gravity in a free fall problem with an extra variable?

In a free fall problem with an extra variable, the value of acceleration due to gravity is typically 9.8 m/s2 or 32.2 ft/s2, depending on the units used in the problem.

Can air resistance affect the motion of an object in free fall?

Yes, air resistance can affect the motion of an object in free fall. As the object falls, it experiences a resistance force from the air, which can slow down its acceleration and affect its final velocity and distance traveled.

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