Projectile Motion The position of a projectile fired with an initial velocity v0 feet per second and at an angle u to the horizontal at the end of t seconds is given by the parametric equations (a) Obtain the rectangular equation of the trajectory, and identify the curve. (b) Show that the projectile hits the ground (y = 0) when (c) How far has the projectile traveled (horizontally) when it strikes the ground? In other words, find the range R. (d) Find the time t when x = y. Next find the horizontal distance x and the vertical distance y traveled by the projectile in this time. Then compute . This is the distance R, the range, that the projectile travels up a plane inclined at 45° to the horizontal (x = y). See the following illustration.
Projectile Motion The position of a projectile fired with an initial velocity v0 feet per second and at an angle u to the horizontal at the end of t seconds is given by the parametric equations (a) Obtain the rectangular equation of the trajectory, and identify the curve. (b) Show that the projectile hits the ground (y = 0) when (c) How far has the projectile traveled (horizontally) when it strikes the ground? In other words, find the range R. (d) Find the time t when x = y. Next find the horizontal distance x and the vertical distance y traveled by the projectile in this time. Then compute . This is the distance R, the range, that the projectile travels up a plane inclined at 45° to the horizontal (x = y). See the following illustration.
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- Projectile Motion The position of a projectile fired with an initial velocity v0 feet per second and at an angle u to the horizontal at the end of t seconds is given by the parametric equations
(a) Obtain the rectangular equation of the trajectory, and identify the curve.
(b) Show that the projectile hits the ground (y = 0) when
(c) How far has the projectile traveled (horizontally) when it strikes the ground? In other words, find the range R.
(d) Find the time t when x = y. Next find the horizontal distance x and the vertical distance y traveled by the projectile in this time. Then compute . This is the distance R, the range, that the projectile travels up a plane inclined at 45° to the horizontal (x = y). See the following illustration.
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