Final answer:
Without the angle of motion at the stated point, it is impossible to accurately determine the velocity vector for the object. The speed alone does not provide enough information; the direction, or angle of travel, is also necessary.
Step-by-step explanation:
The student is asking about the velocity of an object at a certain point during its projectile motion, after being launched at an initial angle and velocity.
To find the object's velocity at the moment when the speed is 5.3 m/s and the object is 7.897959 m away from the launch point, we need to use vector components of velocity. The speed given does not include direction, so we need to break it down into horizontal and vertical components.
Assuming we know the angle at which the object is moving at that point, we would use the following calculations where horizontal velocity (ℓx) = speed × cos(θ) and vertical velocity (ℓy) = speed × sin(θ).
However, since the angle is not provided, we cannot calculate the exact velocity vector without it. If we had the angle, we would then combine these components using the Pythagorean theorem to find the magnitude of the velocity.
Since we lack the required angle to determine the components of velocity, we are unable to provide the exact velocity vector for the given speed and distance. More information is needed to solve this problem accurately.