Task: find the solution of two equations with 2 unknown variables. Let there be an object launched at 5 m/s at an angle of 30 degrees with respect to the horizon. The path of the object looks like this: / 30° According to the laws of physics equations of motion for this object are: x = 5[cos(30°)]t y = 5[sin(30°)]t – 4.9*t2 where x is the horizontal coordinate of the object, y is the vertical coordinate, and t is time. a. What is the objects horizontal displacement when it lands? (Hint: what is the x coordinate when the y coordinate is zero? This happens at 2 places, the launch poir and the point where the ball strikes the ground). b. If there is a 1/3 meter high wall 1 meter from the launch point, will the object go over the wall? (Hint: try drawing the wall on your diagram to make sure you understand the question)

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Task: find the solution of two equations with 2 unknown variables.
Let there be an object launched at 5 m/s at an angle of 30 degrees with respect to
the horizon. The path of the object looks like this:
/ 30°
According to the laws of physics
equations of motion for this object are:
x = 5[cos(30°)]t
y = 5[sin(30°)]t – 4.9*t²
where x is the horizontal coordinate of the object, y is the vertical coordinate, and t
is time.
a. What is the objects horizontal displacement when it lands? (Hint: what is the x
coordinate when the y coordinate is zero? This happens at 2 places, the launch point
and the point where the ball strikes the ground).
b. If there is a 1/3 meter high wall 1 meter from the launch point, will the object go
over the wall? (Hint: try drawing the wall on your diagram to make sure you
understand the question)
Transcribed Image Text:Task: find the solution of two equations with 2 unknown variables. Let there be an object launched at 5 m/s at an angle of 30 degrees with respect to the horizon. The path of the object looks like this: / 30° According to the laws of physics equations of motion for this object are: x = 5[cos(30°)]t y = 5[sin(30°)]t – 4.9*t² where x is the horizontal coordinate of the object, y is the vertical coordinate, and t is time. a. What is the objects horizontal displacement when it lands? (Hint: what is the x coordinate when the y coordinate is zero? This happens at 2 places, the launch point and the point where the ball strikes the ground). b. If there is a 1/3 meter high wall 1 meter from the launch point, will the object go over the wall? (Hint: try drawing the wall on your diagram to make sure you understand the question)
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