The vertical position of a particle is given by the function y = (t^2 - 4t + 2) m, where t is in s. (b) What is the particle's position at that time?

Problems 49, 50, 51, and 52 show a partial motion diagram. For each:a. Complete the motion diagram by adding acceleration vectors.

Problems 49, 50, 51, and 52 show a partial motion diagram. For each:a. Complete the motion diagram by adding acceleration vectors.

Problems 49, 50, 51, and 52 show a partial motion diagram. For each:c. Draw a pictorial representation for your problem.

A steel ball rolls across a 30-cm-wide felt pad, starting from one edge. The ball's speed has dropped to half after traveling 20 cm. Will the ball stop on the felt pad or roll off?

A good model for the acceleration of a car trying to reach top speed in the least amount of time is a𝓍 = a₀ ─ kv𝓍, where a₀ is the initial acceleration and k is a constant.a. Find an expression for k in terms of a₀ and the car's top speed vₘₐₓ.

A particle moving along the x-axis has its position described by the function x = (2t^3 + 2t + 1) m, where t is in s. At t = 2s what are the particle's (a) position

A particle's velocity is described by the function vₓ =kt² m/s, where k is a constant and t is in s. The particle's position at t₀ = 0 s is x₀ = ─9.0 m. At t₁ = 3.0 s, the particle is at x₁ = 9.0 m. Determine the value of the constant k. Be sure to include the proper units.

The position of a particle is given by the function x = (2t^3 = 6t^2 + 12) m, where t is in s. (a) At what time does the particle reach its minimum velocity? What is (vx)min?