The position of an insect moving on a horizontal surface at time (in seconds) is…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

The position of an insect moving on a horizontal surface at time

t

(in seconds) is given by the coordinates

x=4t+2

(in cm) and

y=3t^{2}-t

(in cm). (a) Write the displacement vector of the insect between

t=0

and a general instant

t

. (b) Obtain an expression for the magnitude of this displacement as a function of

t

. (c) Using your result, calculate the magnitude and direction (angle with the

x

–axis) of the displacement after 5\,s.