A drone is programmed so that its horizontal and vertical components of position as functions of time t (seconds) are given by x(t) = 2t? and y = -t3 + 8t2 – 5t + 4 respectively. %3D | (a) What are the magnitude and direction of the instantaneous velocities at t = 0 and t 4 sec? (b) Find the time at which the drone attains maximum height and also find the maximum height attained by the drone.

A drone is programmed so that its horizontal and vertical components of position as functions of time t (seconds) are given by x(t) = 2t? and y = -t3 + 8t2 – 5t + 4 respectively. %3D | (a) What are the magnitude and direction of the instantaneous velocities at t = 0 and t 4 sec? (b) Find the time at which the drone attains maximum height and also find the maximum height attained by the drone.

Name: A drone is programmed so that its horizontal and vertical components
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Description: A drone is programmed so that its horizontal and vertical components of positionas functions of time t (seconds) are given by x(t) = 2t? and y = -t3 + 8t2 – 5t + 4respectively.%3D|(a) What are the magnitude and direction of the instantaneous velocit

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Question

A drone is programmed so that its horizontal and vertical components of position
as functions of time t (seconds) are given by x(t) = 2t? and y = -t3 + 8t2 – 5t + 4
respectively.
%3D
|
(a) What are the magnitude and direction of the instantaneous velocities at t =
0 and t
4 sec?
(b) Find the time at which the drone attains maximum height and also find the
maximum height attained by the drone.

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Given and required quantities

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Horizontal and vertical components of velocity of the drone

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Magnitude and direction of velocity of the drone at t = 0

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Magnitude and direction of velocity of the drone at t = 4 s

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Time of maxima/ minima of vetrical height

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Time of maximum vertical height and maximum vertical height of the drone

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