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# Category Archives: Projectile Motion

## Projectile Motion Physics example question

A softball is thrown from the roof of the gym with a horizontal velocity of 36.6 m/s and lands 97.2 meters away. How tall is the building?

Solution to this Projectile Motion physics practice problem is given in the video below!

## Projectile Motion In Two Dimensions problem example

An object is launched at angle    from the horizontal with initial speed Vo = 98 meters per second. Determine the time of flight and the horizontal range of the projectile.

Solution to this Calculus Projectile Motion practice problem is provided in the video below!

## Projectile Motion “Baseball Pitcher” example question

A baseball pitcher releases the ball horizontally from a height of 6 feet with an initial velocity of 130 feet per second. Find the height of the ball when it reaches home plate 60 feet away.

Solution to this Calculus Projectile Motion practice problem is provided in the video below!

## Theoretical Projectile Motion example

Show that an object dropped from a height of H feet will hit the ground at time    seconds with impact velocity    feet per second.

Solution to this Calculus Projectile Motion practice problem is provided in the video below!

## Parametric Equation Sketch & X–Y Equation Conversion example question

Sketch the given Parametric Equation and find its corresponding XY Equation:

Solution to this Parametric Equations & Curves practice problem is given in the video below!

## Parametric Equation Sketch & X–Y Equation Conversion example problem

Sketch the given Parametric Equation and find its equivalent XY Equation:

Solution to this Parametric Equations & Curves practice problem is given in the video below!

## Parametric Equation Sketch & X–Y Equation Conversion example

Find Parametric Equations from the given XY equation:

Circle with radius 3, centered at (2, 1) and drawn counterclockwise.

Solution to this Parametric Equations & Curves practice problem is given in the video below!

## Parametric Equation Sketch & X–Y Equation Conversion example question

Derive Parametric Equations from the given XY equation:

Line from (-2, 4) to (6, 1).

Solution to this Parametric Equations & Curves practice problem is given in the video below!

## Parametric Equation Sketch & X–Y Equation Conversion example problem

Find Parametric Equations by using the given XY equation:

from (2, -2) to (0, 2).

Solution to this Parametric Equations & Curves practice problem is given in the video below!

## Parametric Equations: Points of Intersection of Two Curves example

Find the coordinates of the points of Intersection of two given Parametric Curves:

Solution to this Parametric Equations & Curves practice problem is given in the video below!

## Parametric Equations of a PROJECTILE example problem

A projectile is fired at an angle of inclination α, with 0 < α < π/2, at an initial speed of vo. Parametric equations for its path can be shown to be x = votcos(α), y = votsin(α) – (gt ²)/2, with t representing time.

a) Eliminate the t parameter and find the value of t when the projectile hits the ground.

b) Sketch the path of the projectile for the case α = π/6, vo = 32 ft/sec, g = 32 ft/sec ².

Solution to this Parametric Equations of a Projectile practice problem is given in the video below!

## Parametric Equations: Object Position, Velocity & Speed example question

Find the Position, Velocity and Speed of an Object by using the following Parametric Equation:

Solution to this Parametric Equations & Curves practice problem is given in the video below!

## Slope of the Parametric Curve example problem

Find the Slope of the Tangent Line to the Curve

Solution to this Parametric Equations & Curves practice problem is given in the video below!

## Parametric Curves: Coordinates of the Points of Vertical & Horizontal Tangent Linesexample

Find the Coordinates of the Points of Vertical and Horizontal Tangent Lines to the Curve

Solution to this Parametric Equations & Curves practice problem is given in the video below!

## Parametric Curves: Arc Lengthexample question

Find the Arc Length of a Parametric Curve

Solution to this Parametric Equations & Curves practice problem is given in the video below!

## Parametric Curves: Area example problem

Find the Area enclosed by a Parametric Curve

in the interval

Solution to this Parametric Equations & Curves practice problem is given in the video below!