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mrkidd1k
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Homework Statement
A golf ball with an initial angle of 30° lands exactly 216 m down the range on a level course.
Homework Equations
x=vt+.5at2
A vector is a mathematical quantity that has both magnitude (size) and direction. It is often represented by an arrow, with the length of the arrow representing the magnitude and the direction of the arrow representing the direction.
The components of a vector are the parts that make up the vector in different directions. These are usually represented as x and y components, with the x component representing the horizontal direction and the y component representing the vertical direction.
The magnitude of a vector can be calculated using the Pythagorean theorem. This involves taking the square root of the sum of the squared components of the vector. Alternatively, you can use the magnitude formula: |v| = √(x^2 + y^2), where x and y are the x and y components of the vector, respectively.
Speed is the rate at which an object moves. It is a scalar quantity, meaning it only has magnitude and no direction. It is related to vectors in that the velocity of an object (its speed and direction) can be represented as a vector. The magnitude of the velocity vector represents the speed of the object.
The average speed of an object with changing velocity is calculated by dividing the total distance traveled by the total time taken. This is different from the average velocity, which takes into account the direction of the object's motion. In order to calculate the average speed, you would need to know the total displacement (change in position) of the object and the total time taken. You can then use the formula: average speed = total displacement / total time taken.