How Does Throwing an Object Downward Affect Its Fall Time from a Tower?

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SUMMARY

The discussion centers on calculating the height of a tower from which an object is dropped, given that throwing the object downward at 60 m/s reduces the fall time by half. Using the equation of motion, d = v1*t + (1/2)*a*t², and substituting the known values, the height of the tower is determined to be 320 meters. The acceleration due to gravity is taken as 10 m/s², and the initial velocity (v1) is 0 m/s for the dropped object.

PREREQUISITES
  • Understanding of kinematic equations, specifically d = v1*t + (1/2)*a*t²
  • Basic knowledge of gravitational acceleration (10 m/s²)
  • Concept of initial and final velocity in free fall
  • Ability to manipulate algebraic equations to solve for unknowns
NEXT STEPS
  • Review kinematic equations in physics for motion analysis
  • Study the effects of initial velocity on free fall time
  • Explore problems involving gravitational acceleration and height calculations
  • Learn about the relationship between time, velocity, and distance in projectile motion
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Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of motion under gravity.

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Homework Statement



An object is dropped from a tower. if it had been thrown down at 60m/s, it would have taken half the time. What is the height of the tower? (Use gravity as 10m/s2)

Givens
Acceleration = 10m/s2
v1 = 0m/s (not sure)
v2 = 60m/s
time = t/2

Homework Equations



d=v1*t+(1/2)*a*t2

The Attempt at a Solution



I tried doing the questions, but i don't understand.

The correct answer is 320m, but i don't know how to get to it.

Any help is appreciated.

Thanks
 
Physics news on Phys.org
Well, how much time does it take for an object at rest to fall and how much time does it take for an object thrown down to fall?
 

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