These are three separate questions that I am stumped at how to solve and they al

Question

These are three separate questions that I am stumped at how to solve and they all have to do with Projectile Motion.


Projectile Motion Height Tower
1. A rock thrown horizontally from the top of a radio tower lands 25.0 m from the base of the tower. If the speed at which the object was projected was 9.00 m/s, how high is the tower?


Projectile Motion On Unknown Planet
2. A rock thrown with an initial velocity of 36.5 m/s at an angle of 60.0 o with respect to the horizontal has a range of 960 m on a certain planet. What is the acceleration of gravity on this planet?


Projectile Motion Range
3. How far will a stone travel over level ground if it is thrown upward at an angle of 29.0 o with respect to the horizontal and with a speed of 16.0 m/s? What is the maximum range that could be achieved with the same initial speed?

Explanation / Answer

1) v0=vox=9 m/s==>range=25 m==>t=range/vox2.78 s==>t=(2*y/g)

2.782=2*y/9.8==>2.782*9.8/237.81 m height of tower

2) vo=36.5 m/s==>=60o==>range=Vo2*sin(2*60o)/g=960=Vo2*sin(2*60o)/g

g=36.52*sin(2*60o)/9601.202 m/s2=acceleration on the planet

3) vo=16 m/s==>=29o==>vox=16*cos(29o)14 m/s==>

voy=16*sin(29o)=7.76 m/s==>max ht time=voy/g=7.76/9.80.792 s

total flight time is 0.792*21.6 s==>range=vox*t=14*1.622.2 m=range at 29o

max range is =45o:Vo2*sin(2*45o)/g26.1 m range at 45o

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