Projectile Motion (Vector Quantities)

In summary, a golfer hits a tee shot from an elevated driving range tee-off with the ball landing at the 66.8 meter marker after being shot from a height of 6.5 meters. To determine the time the ball was in the air, use the equation X = VoxT and solve for T. To find the initial velocity of the ball, use the equation of motion with an initial velocity in the y direction of 0 and an acceleration of gravity. Then use this initial velocity in the given equation to find the answer. It is important to remember that the x and y components are independent of each other.
  • #1
deaninator
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Homework Statement


A golfer rips a tee shot from an elevated driving range tee-off such that the ball leaves horizontally. The ball lands exactly at the 66.8 meter marker, and was shot from the upper level (6.5 meters above the ground).

How long was the ball in the air?

And how fast did the ball leave the tee?


Homework Equations


X = VoxT


The Attempt at a Solution


My teacher did a terrible job touching base on projectile motion
 
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  • #2
you know that x component and y component are independent of each other. Given that initial velocity in y is 0 and the acceleration is g, use the equation's of motion to find answer to first part of the question.

First solve this and then try the next part.
 
  • #3
First start by breaking this down into components, you have x and y and use your knowledge of the x and y velocities and then first plug it into the y=yo+x+1/2at^2 and with t hat answer plug it into the equation that you provided in the post and see whta you get
 

1. What is projectile motion?

Projectile motion is the motion of an object that is launched into the air and then moves under the influence of gravity alone. This type of motion can be seen in everyday life, such as a ball being thrown or a rocket being launched.

2. What are the two components of projectile motion?

The two components of projectile motion are horizontal motion and vertical motion. Horizontal motion is the motion of the object along the horizontal axis, while vertical motion is the motion of the object along the vertical axis.

3. Can you explain the concept of vector quantities in projectile motion?

Vector quantities in projectile motion refer to the physical quantities that have both magnitude and direction. In projectile motion, the velocity and acceleration of the object are vector quantities because they have both a numerical value and a direction. This is important because the direction of these quantities can impact the trajectory of the projectile.

4. How do you calculate the range of a projectile?

The range of a projectile is the horizontal distance it travels before hitting the ground. To calculate the range, you can use the formula: R = v02sin(2θ)/g, where R is the range, v0 is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity.

5. What factors can affect the trajectory of a projectile?

The trajectory of a projectile can be affected by several factors, including the initial velocity, launch angle, air resistance, and the gravitational pull of other objects (such as the moon or other planets). Additionally, external forces, such as wind or friction, can also impact the trajectory of a projectile.

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