A ball is dropped from a height of 39.0 m.

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The problem involves a ball dropped from a height of 39.0 m under the influence of gravity and a horizontal wind providing a constant acceleration of 1.20 m/s². The vertical and horizontal motions are analyzed independently due to their perpendicular nature. To demonstrate that the ball's path is a straight line, one can graph the motion and calculate the vertical and horizontal displacements over time. The relationship between the vertical and horizontal positions can be expressed in the form of a linear equation, y = mx + c. The calculations will also determine the time taken for the ball to reach the ground and its impact speed.
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Homework Statement


A ball is dropped from a height of 39.0m. The wind is blowing horizontally and imparts a constant acceleration of 1.20 m/s^2 to the ball.
a. Show that the path of the ball is a straight line and find the values of R and θ (R is the distance on the x-axis and θ is the angle between the point where the ball hits the ground and the x-axis)
b. How long does it take for the ball to reach the ground?
c. With what speed does the ball hit the ground?


Homework Equations





The Attempt at a Solution

 
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fsci13 said:

Homework Statement


A ball is dropped from a height of 39.0m. The wind is blowing horizontally and imparts a constant acceleration of 1.20 m/s^2 to the ball.
a. Show that the path of the ball is a straight line and find the values of R and θ (R is the distance on the x-axis and θ is the angle between the point where the ball hits the ground and the x-axis)
b. How long does it take for the ball to reach the ground?
c. With what speed does the ball hit the ground?


Homework Equations





The Attempt at a Solution


The acceleration due to the wind and the acceleration due to gravity are at rightangles to each other and thus vertical and horizontal motion can be analysed independently.

Graph this motion to get a picture.

The ball starts at (0,39)

Calculate how far vertically and horizontally the ball moves in 1 second - plot that point.

Repeat for 2 seconds.

Do those three points form a straight line?

That would be a place to start.
 
Prove that the relation of y and x is in form of a straight line.
y=mx+c

m is the gradient.
 
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