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What are path functions?
a function whose magnitude depends on the path followed by the function and on the end points.
Identify an equation in slope-intercept from for the line parallel to y=4x-9 that passes through (-5,3)?
A walking path across a park is represented by the equation y = –4x + 10. A new path will be built perpendicular to this path. The paths will intersect at the point (4, –6). Identify the equation that represents the new path.
A rectangular garden has dimensions of 15 feet by 11 feet A gravel path of uniform width is to be built around the garden How wide can the path be if there is enough gravel for 192 square feet?
x = the width of the path. A = area of path = (15+x)(11+x) - (15*11) = (15*11)+15x+11x-(15*11) = 15x+11x = 26x 192 ft2 = 26x x = 192/26 ~= 7.38 feet.
A path 1m wide is built along the border and inside a square garden of side 30cmfind the area of the path?
Let ABCD be the border of square garden of side 30m and the shaded region be the path Then AD = 30m , XP=1m, SY = 1m and XY = AD ⇒ XP + PS + SY = AD ⇒ PS = AD - XP - SY = 30m - 1m - 1m = 28m ∴ PQRS in a square of side 28m ∴ The area of path = Area of ABCD - Area of PQRS
What is a set of points forming a straight path expanding infinitely in opposite directions?
A straight line.
What is parabolic motion?
a parabolic motion is a motion of an object in a curved path when it is launched...
Projectile following a parabolic path on a circle?
A projectile following a parabolic path on a circle can be understood as the motion of an object launched at an angle along the circumference of the circle. As the object moves, gravity causes it to follow a parabolic trajectory while the curvature of the circle influences its path. The resulting motion combines the circular motion of the circle with the parabolic motion of the projectile.
What path does a rock thrown horozontally from a building follow?
The rock follows a parabolic path.
A 0.50kg rock is launched upward with an initial speed of 80.0 meter per second how long will it take for he rock to reach its maximum height?
At the maximum height, the rock's final velocity will be 0 m/s. You can use the kinematic equation v_f = v_i + at to find the time it takes for the rock to reach its maximum height. Rearranging the equation to solve for time t, where a is the acceleration due to gravity, you can find the time it takes for the rock to reach its maximum height.
What is a parabolic curve?
A parabolic curve is a curve where any point in the curve is an equal distance from two areas. It is an equal distance away from the focus, or fixed point and the fixed straight line, or the directrix.
What does NOT exhibit parabolic motion?
Objects moving in a straight line or in circular motion do not exhibit parabolic motion. Parabolic motion is characterized by an object following a symmetrical path under the influence of gravity.
A sepak takraw that is kicked from a height of two meters follows a path that is?
parabolic, defined by the shape of a quadratic equation, where the ball's trajectory will form a curve in the shape of an inverted "U." It will reach its peak height midway before descending back to the ground. The path can be calculated using projectile motion equations to determine the distance traveled and time of flight.
Why does a skier follow a parabloic path?
Roughly speaking, ANY object in free fall follows a parabolic path.
What curved path an object follows when thrown?
Actually, if you were to ask a Gunners Mate in the Navy, he'd tell you that the curved path of an object thrown is called a trajectory. And in a practical case, trajectories are not parabolic when traveled in a gas, like our atmosphere. They are parabolic if and only if the objects are not also acted on by drag and angular momentum forces. And any good curve ball pitcher in baseball can prove that.
What path will take if a ball is dropped from a moving train?
The ball will follow a parabolic path due to its horizontal motion with the train and vertical motion due to gravity. It will fall straight down relative to the train, hitting the ground directly below the point where it was released.
What is the path of comet around the sun called?
It is called an orbit. A comet has an eccentric or parabolic orbit.
What is the height of a binary search tree?
The height of a binary search tree is the maximum number of edges from the root node to a leaf node. It represents the longest path from the root to a leaf in the tree.
