How Do You Calculate Time and Speed in These Physics Problems?

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SUMMARY

This discussion focuses on calculating time and speed in various physics problems involving free fall and projectile motion. Key equations include the kinematic equation v(t) = v_0 + (1/2) a t^2, which is essential for solving problems related to objects in motion under gravity. Specific scenarios include a balloon dropped from 5.53 m, two arrows shot with different initial speeds, and the crossing paths of two balls dropped and thrown simultaneously. The discussion emphasizes understanding acceleration due to gravity and average speed to solve these problems effectively.

PREREQUISITES
  • Understanding of kinematic equations, specifically v(t) = v_0 + (1/2) a t^2
  • Knowledge of free fall and projectile motion concepts
  • Familiarity with average speed and average velocity calculations
  • Basic understanding of gravitational acceleration (9.81 m/s²)
NEXT STEPS
  • Study the application of kinematic equations in free fall problems
  • Learn how to calculate the time of flight for dropped objects
  • Explore projectile motion and the relationship between initial speed and maximum height
  • Investigate average speed calculations for comparative motion scenarios
USEFUL FOR

Students studying physics, particularly those tackling homework on motion, free fall, and projectile problems. This discussion is beneficial for anyone needing to understand the principles of time and speed calculations in physics.

hyen84
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Physics questions...

1.) From her bedroom window a girl drops a water-filled balloon to the ground, 5.53 m below. If the balloon is released from rest, how long is it in the air? ** they didn't give me any velocity, so i don't know what to do **

2.) Two arrows are shot vertically upward. The second arrow is shot after the first one, but while the first is still on its way up. The initial speeds are such that both arrows reach their maximum heights at the same instant, although these heights are different. Suppose that the initial speed of the first arrow is 25.6 m/s and that the second arrow is fired 2 s after the first. Determine the initial speed of the second arrow. ** ím lost on this one**

3.) A ball is dropped from rest from the top of a cliff that is 27.6 m high. From ground level, a second ball is thrown straight upward at the same instant that the first ball is dropped. The initial speed of the second ball is exactly the same as that with which the first ball eventually hits the ground. In the absence of air resistance, the motions of the balls are just the reverse of each other. Determine how far below the top of the cliff the balls cross paths. ** totally lost***

4.) The three-toed sloth is the slowest moving land mammal. Assume that on the ground the sloth moves at an average speed of 0.013 m/s, considerably slower than the giant tortoise, which walks at 0.0193 m/s. After 20 minutes of walking, how much further would the tortoise have gone relative to the sloth?

** please help this homework is due tomorrow..thank you.. i'll buy you guys ice cream for helping me with the questions...
 
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Read in your textbook about the acceleration due to gravity.

This will help you on the first, second and third questions.

The fourth question is simply determine how far each animal can travel in the allotted time and the difference between these two numbers. (Read in your textbook about average speed and average velocity.)
 
[tex]v(t) = v_0 + \frac{1}{2} a t^2[/tex]
i think this is the equation to use.
 

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