A particle inoves along the x-axis. It's position as a function of time is given by...
A particle poves along the x-axis. It's position as a function of time is given by z (t) =-31+ 2e-翅 The following questions refer to that situation. Only consider times t greater than or equal to zero (no negative values of t). Note Some of the questions ask about the maximum velocity attained, or the maximum x coordinate, etc. Hint: use calculus! A very important application of the derivative is finding the maxima and minima of functions 1 pts D...
The position of a particle moving along an x axis is given by x = 14.0t^2 - 5.00t^3, where x is in meters and t is in seconds. Determine the position, the velocity, and the acceleration of the particle at t = 6.00 s. What is the maximum positive coordinate reached by the particle and at what time is it reached? What is the maximum positive velocity reached by the particle and at what time is it reached? What is...
The position of a particle moving along an x axis is given by x = 12. t2 2.00t3 where x is in meters and t is in seconds. Determine a) the position, b the velocity, and (c) the acceleration of the particle at t = 4.00 s. (d) what is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at...
The position of a particle moving along an x axis is given by x = 13.0t2 - 3.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 6.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at...
The velocity-versus-time graph is shown for a particle moving along the x-axis. Its initial position is x0 = 1.8 m at t0 = 0 s. (Figure 1) Part A What is the particle's position at t = 1.0 s ? Part B What is the particle's velocity at t = 1.0s? Part C What is the particle's acceleration at t = 1.0 s? Part D What is the particle's position at t = 3.0s? Part E What is the particle's velocity at t = 3.0s? Part...
The position of a particle moving along the x axis depends on the time according to the equation x = ct2-bt3, where x is in meters and t in seconds. What are the units of (a) constant c and (b) constant b? Let their numerical values be 3.0 and 2.0, respectively. (c) At what time does the particle reach its maximum positive x position? From t=0.0s to t=4.0 s, (d) what distance does the particle move and (e) what is...
A particle moving along the x-axis has its velocity described by the function vx =2t2m/s, where t is in s. Its initial position is x0 = 1.8 m at t0 = 0 s . 1.At 2.6 s , what is the particle's position? 2.At 2.6 s , what is the particle's velocity? 3.At 2.6 s , what is the particle's acceleration?
A particle moving along the x-axis has its velocity described by the function vx=2t2 m/s, where t is in s. Its initial position is x0 = 1.1 m at t0 = 0 s . 1. At 1.1 s , what is the particle's position? 2. At 1.1 s , what is the particle's velocity? 3. At 1.1 s , what is the particle's acceleration?
The position of a particle moving along an x axis is given by x 14.0t2 - 3.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) what is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) what is the maximum positive velocity reached by the particle and (g) at what...
gives the acceleration a versus time t for a particle moving along an x axis. The a-axis scale is set by as = 14.0 m/s2. At t = -2.0 s, the particle's velocity is10.0 m/s. What is its velocity at t = 6.0 s?