How long does it take to reach the ground?

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SUMMARY

The discussion focuses on calculating the time it takes for a ball thrown from a 66 m tall building to reach the ground after being thrown upwards with an initial speed of 12.5 m/s. Participants emphasize the relevance of the SUVAT equations in solving the problem, particularly in determining the maximum height and the total time of flight. The consensus is that while calculating the maximum height is not strictly necessary for finding the total time, it can provide additional insights into the ball's trajectory.

PREREQUISITES
  • Understanding of kinematic equations, specifically SUVAT equations.
  • Basic knowledge of projectile motion principles.
  • Familiarity with concepts of initial velocity and maximum height.
  • Ability to perform calculations involving time, distance, and acceleration due to gravity.
NEXT STEPS
  • Study the SUVAT equations in detail to understand their application in projectile motion.
  • Learn how to calculate maximum height and time of flight for projectile motion problems.
  • Explore the effects of initial velocity on the trajectory of thrown objects.
  • Practice solving similar problems involving vertical motion and free fall.
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding projectile motion and its calculations.

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Homework Statement


Standing on the roof of a 66 m tall building, you throw a ball straight up with an initial speed of 12.5 m/s. If the ball misses the building on the way down, how long will it take from you threw the ball until it lands on the ground below? Give your answer in seconds and round the answer to three significant figures.

The Attempt at a Solution


I'm not sure how to answer this. How do I know how high he throws it initially? [/B]
 
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You can calculate the maximum height of the ball using given initial speed.
 
C. Lee said:
You can calculate the maximum height of the ball using given initial speed.
You can, but it's just extra work here.

Lana, what equations do you know which may be relevant? Does SUVAT mean anything to you?
 
haruspex said:
You can, but it's just extra work here.

Lana, what equations do you know which may be relevant? Does SUVAT mean anything to you?

You are definitely right.
 

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