The table below gives the - and -components of the velocity
MATHEMATICS · Multi-part · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices
Problem
The table below gives the x- and y-components of the velocity, vx(t) and vy(t), of a particle at selected times t (measured in seconds).
t (s)
vx(t) (m/s)
vy(t) (m/s)
1.9
2.47
–1.35
2.0
2.50
–1.40
2.1
2.53
–1.44
Assume both vx(t) and vy(t) are differentiable in a neighborhood of t=2.
(a) Using the data in the table, estimate the particle’s instantaneous speed at t=2 seconds.
(b) State the units of your answer from part (a) and briefly explain how they arise from the given data.