A quadcopter drone takes off from rest at the origin of a flat coordinate system

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A quadcopter drone takes off from rest at the origin of a flat coordinate system. While in flight, it experiences a constant horizontal acceleration of

2.0\,\text{m/s}^{2}

due east due to a steady wind, and a constant vertical acceleration of

-9.8\,\text{m/s}^{2}

due to gravity. Ignore any lift adjustments by the drone’s rotors. (a) Determine the

x

and

y

coordinates of the drone relative to the origin after

4.0\,\text{s}

of flight. (b) Calculate the magnitude of the drone’s displacement from the origin at

t = 4.0\,\text{s}

. (c) Find the magnitude and compass direction (angle measured east of downward) of the drone’s velocity at

t = 4.0\,\text{s}

. Express the direction to the nearest degree.

Related theory

2D Vectors & Component-wise Representation
2D Motion with Constant Acceleration
Projectile motion
Motion in a plane with constant acceleration
Motion in a Plane

Browse the problem library