The x and y distances of projectile from the launching point to the landing point is 125 meters and 48.308 meters respectively.
What is projectile motion?
Projectile motion is the motion of the body, when it is thrown in the air taking the action of gravity on it.
For the distance traveled by the object in a projectile motion, we use the following formula.
Here, (g) is the gravity, () is the initial velocity and (t) is time. The
In the given problem, projectile is launched at ground level with an initial speed of 54.5 m/s.
The initial angle of launching the projectile is 35.0° above the horizontal. The time taken to hit the target after the projectile launched is 2.80 seconds.
The x distance of the projectile is the distance traveled by the object in the horizontal direction. Thus the velocity of the projectile is,
The x distance is the product of horizontal component of the velocity to the time taken by it. Therefore
The y distance of the projectile is the distance traveled by the object in the vertical direction. Thus the initial velocity of the projectile is,
Put this in the above formula for the y distance, we get,
Hence, the x and y distances of projectile from the launching point to the landing point is 125 meters and 48.308 meters respectively.
Learn more about the projectile motion here;
link