Master Motion Problems: Time, Velocity, and Trajectory | Expert Help ASAP!

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The discussion focuses on solving motion problems involving time, velocity, and trajectory. The first problem involves a ball thrown horizontally from a height of 32.5 meters, requiring calculations for time of flight, initial velocity, and velocity components just before impact. The second problem addresses a projectile fired upward at 135 m/s, asking for its speed at the peak of its trajectory and at a 33-degree launch angle. Participants suggest breaking the problems into vertical and horizontal components and applying principles of projectile motion. The conversation emphasizes the need for guidance on the appropriate formulas and concepts to use for these calculations.
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Please help asap!- Motion problems

I am stuck on these questions, please can some one help asap!

1. A ball is thrown horizontally from the top of a building 32.5 m high. The ball strikes the ground at a point 96.9 m from the base of the building. The acceleration of gravity is 9.8 m/s^2. Find the time the ball is in motion. Find the initial velocity of the ball. Find the x and y components of its velocity just before it strikes the ground.

2. A projectile is fired straight upward at 135 m/s. How fast is it moving at the instant it reaches the top of its trajectory? How fast is it moving at the instant it reaches the top of its trajectory if the particle is fired upward at 33 degrees from the horizontal?
 
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what have you done?
 
I have no idea what to do in the 1st question because nothing is given except the distance. Can u just tell me what formulas to use? Just a little hint would be helpful.
 
Srry couldn't help you yesturday I had to leave, :mad: . But just separate it into vertical and horizontal components I think youll be able to do it.
 
1) At the top of the building, what's the only component of velocity?

2) For the first part, it seems like a 90 degrees angle with the horizontal, so consider what you learned in 1D motion, Use what you know of projectile motion.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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