How Do You Calculate Projectile Motion for a Stone Thrown from a Tower?

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To calculate the projectile motion of a stone thrown from a 150m high tower at a velocity of 100m/s and an elevation of 30 degrees, the time of flight is determined to be approximately 12.4 seconds. The horizontal distance from the tower where the stone impacts the ground is calculated to be about 1,008 meters. The velocity of the stone upon striking the ground is found to be 114 m/s, directed at an angle of 40.5 degrees below the horizontal. The calculations involve using kinematic equations for vertical and horizontal motion. This analysis provides a comprehensive understanding of projectile motion dynamics in this scenario.
rachael
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A stone is prjected with a velocity of 100m/s at an elevation of 30 degrees form a tower 150m high. Find:
a. the time of flight
ans:12.(4) secs
b. the horizontal distance from the tower at which the stone strikes the ground
ans: 1.0(8) x 10 3
c. the magnitude and the direction of the velocity of the stone striking the ground.
Ans: 114m/s at 40(5) degrees below horizontal


THANKS
 
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1. y = 30tsin30 - 4.9t^2 + 150
solve that, when y = 0.
2. x = 30tcos30 use the value for t that you just worked out.
3. v_y = 30sin30 - 9.8t
v_x = 30cos30
Solve these two, using the value of t you got in part 1, and then use pythagoras
 
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