Final answer:
To calculate the distance where a gazelle launched from a cannon at 45 m/s at a 50-degree angle landed, we need to split the velocity into horizontal and vertical components, find the time of flight, and then multiply the horizontal velocity by the time of flight.
Step-by-step explanation:
Calculating the Landing Distance of a Projectile
A gazelle is launched out of a cannon at 45 m/s at an angle of 50 degrees. To calculate how far it landed, we need to apply projectile motion equations. First, we split the initial velocity into horizontal (vx) and vertical (vy) components using trigonometric functions:
vx = v * cos(θ) = 45 m/s * cos(50°Next, we determine the time of flight. Since we're ignoring air resistance and focusing on motion under gravity alone,the time to reach the apex (where vy = 0) is tup = vy/g. The total flight time would be twice this value, as the time to rise and fall are equal.
Finally, we calculate the horizontal distance:
Range = vx * time of flight
This gives us the total distance the gazelle landed from its launch point.