192k views
1 vote
a projectile is fired with an initial speed of 38.0 m/s at an angle of 45.0 ∘ above the horizontal on a long flat firing range.

User Shacker
by
8.3k points

1 Answer

4 votes

Final answer:

The question involves Physics and is about calculating the trajectory of a projectile fired at an angle with a given initial speed, which is typical for High School grade level material.

Step-by-step explanation:

The student's question pertains to a projectile that is fired with an initial speed of 38.0 m/s at an angle of 45.0 degrees. This is a classic example of projectile motion, which is a key concept in Physics. Projectile motion involves the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory.

To solve this problem, one would typically decompose the initial velocity into horizontal and vertical components using trigonometric functions. The horizontal component can be found using the cosine function (vx = v0cos(θ)) and the vertical component using the sine function (vy = v0sin(θ)). The horizontal motion is at a constant velocity, while the vertical motion is influenced by gravity, leading to an acceleration component downwards. By calculating these, we can determine various outcomes of the projectile's trajectory, such as its range, maximum height, and time of flight.

User Jack Franzen
by
7.9k points