How to Solve Projectile Motion Problems: Finding Distance to Target

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To solve projectile motion problems, it is essential to apply the principles of physics, including initial velocity and time of flight. In the first question, the bullet's horizontal distance and the effects of gravity must be considered to determine where it strikes the target. The second question involves calculating the maximum height of a baseball and the height of a fence based on the time it takes to reach these points. Participants are reminded to show their work for better assistance, adhering to forum rules. Understanding these concepts is crucial for accurately solving projectile motion problems.
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Question 1: A rifle is aimed horizontally at the center of a large target 60 m away. The initial speed of the bullet is 240 m/s. What is the distance from the center of the target to the point where the bullet strikes the target?
 
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Question 2 A baseball is hit at ground level. The ball is observed to reach its maximum height above ground level 3.0 s after begin hit. And 2.5 s after reaching this maximum height, the ball is observed to barely clear a fence that is 320 ft from where it was hit. How high is the fence
 
Thread moved to Intro Physics homework forum. rasikan, you must show your own work on these problems before we can help you. That's an important rule here on the PF.
 
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...
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 .
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