Flight Path of a Drone: The flight path of a drone is given by the parametric equations x(t) = vxt and y(t)=vyt -0.5at² If the drone starts with an initial velocity and experiences a constant acceleration, where will the drone be after 15 seconds? B3 Boat in a River: A boat moves in a river where the current and the boat's velocity can be described by x(t)=vbt +vet and y(t) = vet Given the ship's velocities and current, where will the boat be after 20 seconds? Bouncing Ball: A bouncing ball follows a parametric path where the horizontal distance is A3 x(t)=vxt and the vertical height is y(t) = vyt -0.5gt² Given the initial horizontal and vertical velocities, how long does the ball stay in the air, and how far does it travel horizontally?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.FOM: Focus On Modeling: The Path Of A Projectile
Problem 6P: Shooting into the Wind Suppose that a projectile is fired into a headwind that pushes it back so as...
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Flight Path of a Drone: The flight path of a drone is given by the parametric equations
x(t) = vxt
and
y(t)=vyt -0.5at²
If the drone starts with an initial velocity and experiences a constant acceleration, where will the
drone be after 15 seconds?
B3
Boat in a River: A boat moves in a river where the current and the boat's velocity can be described by
x(t)=vbt +vet and y(t) = vet
Given the ship's velocities and current, where will the boat be after 20 seconds?
Bouncing Ball: A bouncing ball follows a parametric path where the horizontal distance is
A3 x(t)=vxt and the vertical height is
y(t) = vyt -0.5gt²
Given the initial horizontal and vertical velocities, how long does the ball stay in the air, and how far
does it travel horizontally?
Transcribed Image Text:Flight Path of a Drone: The flight path of a drone is given by the parametric equations x(t) = vxt and y(t)=vyt -0.5at² If the drone starts with an initial velocity and experiences a constant acceleration, where will the drone be after 15 seconds? B3 Boat in a River: A boat moves in a river where the current and the boat's velocity can be described by x(t)=vbt +vet and y(t) = vet Given the ship's velocities and current, where will the boat be after 20 seconds? Bouncing Ball: A bouncing ball follows a parametric path where the horizontal distance is A3 x(t)=vxt and the vertical height is y(t) = vyt -0.5gt² Given the initial horizontal and vertical velocities, how long does the ball stay in the air, and how far does it travel horizontally?
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