Projectile Motion Example - How fast when it hits the ground
Physics with Professor Matt Anderson・7 minutes read
In a physics problem presented by Professor Anderson, a projectile motion is analyzed involving launching an object at an angle from a building. By applying kinematic equations, the final speed of the object is determined to be approximately 42.21 meters per second, which is not affected by the angle of launch.
Insights
- The final speed of a projectile launched at an angle can be calculated using the equation VF = sqrt(VI^2 + 2GH), where VI is the initial velocity, H is the starting height, and G is the acceleration due to gravity.
- The angle of launch (theta) does not impact the final speed of a projectile, as evidenced by the fact that a ball thrown straight up and caught at the same speed as one launched at an angle will have the same final speed.
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Recent questions
How does angle of launch affect projectile motion?
The angle of launch does not affect the final speed of the object in projectile motion.
What is the formula for calculating final speed in projectile motion?
The final speed in projectile motion can be calculated using VF = square root of VI squared plus 2GH.
What are the parameters needed to solve a projectile motion problem?
To solve a projectile motion problem, parameters like initial velocity (VI), angle (theta), and starting height (H) are required.
How long does an object stay in the air during projectile motion?
The time an object stays in the air during projectile motion can be calculated using kinematic equations.
Does the angle of launch affect the final speed of a projectile?
The angle of launch does not affect the final speed of a projectile, as demonstrated by a ball thrown straight up and caught at the same speed.
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Summary
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Projectile Motion: Calculating Final Speed and Time
- Professor Anderson introduces a projectile motion problem involving launching an object at an angle from a building.
- Given parameters include VI (initial velocity) at 20 meters per second, theta (angle) at 30 degrees, and starting height H at 45 meters.
- The first question is how long the object is in the air, and the second question is about its final speed.
- By analyzing kinematic equations, it is determined that the final speed can be calculated using VF = square root of VI squared plus 2GH.
- The final speed is calculated to be approximately 42.21 meters per second.
- The angle of launch (theta) does not affect the final speed of the object, as demonstrated by a ball thrown straight up and caught at the same speed.
