A particle's trajectory is described by x = (12t3-2t2) m and y = (12t2-2t) m, where t is in s.

What is the particle's speed at t=0s? What is the particle's speed at t=5.0s? Express your answer using two significant figures. What is the particle's direction of motion, measured as an angle from the x-axis, at t=0 s?

Express your answer using two significant figures. What is the particle's direction of motion, measured as an angle from the x-axis, at t=5.0s?

Express your answer using two significant figures.

Question

Ashton Carr

Physics

5 February, 00:33

A particle's trajectory is described by x = (12t3-2t2) m and y = (12t2-2t) m, where t is in s.

What is the particle's speed at t=0s? What is the particle's speed at t=5.0s? Express your answer using two significant figures. What is the particle's direction of motion, measured as an angle from the x-axis, at t=0 s?

Express your answer using two significant figures. What is the particle's direction of motion, measured as an angle from the x-axis, at t=5.0s?

Express your answer using two significant figures.

+3

Answers (1)

Know the Answer?

Aryanna Hatfield · Answer 1

The parametric equations are

x = 12t³ - 2t²

y = 12t² - 2t

The particle's speed is given by

√ (x² + y²) / t

The equation can be used to solve for the speed by substituting t = 0 and t = 5.

The direction can be solve using

θ = tan⁻¹ (y/x)