Answer: Total movement = initial motion + final motion
(Because the ultimate motion is opposite that the formula is)
Total displacement = Initial motion - End movement
= 125 meters - 75 meters
= 50 meters
So, the whole displacement of the boy is 50 meters.
Displacement is that the shortest distance from the ultimate position and therefore the initial position of an object. distance this idea is commonly exchanged with the concept of distance. Displacement are often written as
d = r1 - r2
Displacement could be a change within the position of an object in an exceedingly certain interval and could be a vector quantity. Displacement is said to position transfer. the number of displacement depends only on the starting position and therefore the final position.
Distance could be a number that shows how far an object changes its position through a particular path. In physics or everyday terms, distance are often an estimate of the physical distance of two positions supported certain criteria. In mathematics, the gap must meet certain criteria.
Unlike the position coordinates, the gap might not be negative. Distance could be a scalar quantity, while displacement could be a vector quantity. the gap traveled by a vehicle (usually indicated on the odometer), person, or object, must be distinguished from the gap between points.
In physics, distance is that the length of the trail taken by a moving object, ranging from the initial position and finishing at the ultimate position. this idea is commonly exchanged with the concept of displacement.
horizontal velocity of the ball stays constant throughout the time because there is no horizontal forces acting on the ball to change its velocity ( according to newtons second law of motion). but the vertical velocity of the ball will increase (initially it is zero) because the gravitational force is acting vertically downward upon the ball. so the final velocity will be the vector sum of horizontal and vertical velocities at the point of impact with the ground. we already know the horizontal distance(53m) and vertical distance (82m) that the ball travels. there is no acceleration horizontally but the vertical acceleration is g = 9.8 m/s²(10m/s² approximately). so first from the vertical movement we can find the time of flight of the ball to hit the ground by the equation (s = ut + at²/2) . and also the vertical velocity at impact can also be found( v² = u²+2as) . to find the horizontal velocity we can use (s=ut) here t is the time of flight of the ball.
after finding the two velocities we can get the vector sum of the two. the velocities are normal to each other.
so the final velocity of the ball R will be
R² = V²+H² V=vertical velocity, H = Horizontal velocity