Calculating Distance and Height of a Tossed Ball in 2D Motion

In summary, a ball was tossed from an upper-story window of a building with an initial velocity of 8m/s at an angle of 20 degrees below the horizontal. It struck the ground 3.00s later. The horizontal distance at which the ball struck the ground from the base of the building is 22.5m and the height from which it was thrown is 36m.
  • #1
tdusffx
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A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8m/s at an angle of 20 below the horizontal. It strikes the ground 3.00s later. The horizontal distance at which the balls strike the ground from teh base of teh building and the height from which the ball was thrown are respectively given by:

Xf = Xi + Vxi*t

Change of X = Vxi*T

Xf = 8cos(20)(3)

Xf = 22.5 m

and Yi

Y = Vyi - 1/2g*t^2

0 = Yi + 8sin(20) - 1/2(9.81)(3)^2

Yi= 36m

are my answers right?
 
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  • #2
help! =D
 
  • #3
Process looks good, but next time post in the HW section.
 

1. What is motion in 2 dimensions?

Motion in 2 dimensions is the movement of an object in two perpendicular directions, typically described as x and y coordinates. It takes into account both the magnitude and direction of an object's motion.

2. How is motion in 2 dimensions different from 1 dimension?

Motion in 2 dimensions is different from 1 dimension in that it takes into account movement in two perpendicular directions, while motion in 1 dimension only considers movement along a single straight line.

3. What are some examples of motion in 2 dimensions?

Some examples of motion in 2 dimensions include a ball rolling off a table, a car turning a corner, or a projectile being launched into the air. Essentially, any movement that involves both horizontal and vertical displacement can be considered motion in 2 dimensions.

4. How is motion in 2 dimensions described mathematically?

Motion in 2 dimensions is described using vectors and vector equations. Vectors include both magnitude (speed) and direction, and can be represented graphically or using mathematical notation. The equations used to describe motion in 2 dimensions include the Pythagorean theorem and trigonometric functions.

5. What factors affect motion in 2 dimensions?

Several factors can affect motion in 2 dimensions, including the initial velocity, angle of launch, air resistance, and gravitational force. These factors can impact the trajectory and speed of an object's motion in 2 dimensions.

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