mitx 8.01x Classical Mechanics

posted by .

An object is moving along a straight line parallel to the x-axis. Its position as a function of time is given by:

x(t)=30 m−21 (ms) t+3 (ms2) t2

where the position x is in (m) and the time t is in (s).

(a) What is the object's velocity at t=0 s, 2 s, and 5 s? (enter the x-component of the velocity in m/s. Do not enter the units in the box.)


vx(t=0)=

vx(t=2)=

vx(t=5)=

(b) What is the object's acceleration at t=0 s, 2 s, and 5 s? (enter the x-component of the acceleration in m/s2. Do not enter the units in the box.)

ax(t=0)=
ax(t=2)=
ax(t=5)=

(c) At what time T is the object's velocity zero?(Enter your answer in s. Do not enter the units in the box.)
T=

What is the object's position when its velocity is zero? (Enter the x-component of the position in m. Do not enter the units in the box.)

x(T)=

(d) What is the average velocity between t1= 1.0 s and t2=3.5 s? (Enter the x-component in m/s. Do not enter the units in the box.)

v¯x,t1,t2=

(e) What is the object's average velocity between t1= 0 s and t2=7.0 s? (Enter the x-component in m/s. Do not enter the units in the box.)

v¯x,t1,t2=

(f) What is the object's average speed between t1= 0 s and t2=7.0 s? (Enter the x-component in m/s. Do not enter the units in the box.)

(g) At what time t3 does the object reverses its direction? (Enter your answer in s)

t3=

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Integration

    The velocity v(t) = x'(t) at time t of an object moving along the x axis is given, along with the initial position x(0) of the object. In each case, find: 5) x'(t) = 1/((2t + 1)^(1/2)); x(0) = 0 a) the position x(t) at time t I found …
  2. Physics

    The function ax(t) describes the acceleration of a particle moving along the x-axis. At time t=0, the particle is located at the position x0 and the velocity of the particle is zero. ax(t)=a0e−bt The numerical values of all parameters …
  3. Physics

    This question has to do with kinematics graphing. I CAN NOT REPRODUCE THE GRAPH BUT hope that some help can be given to me with this question. The position versus time for a certain object moving along the x-axis. The object's initial …
  4. mitx 8.01x Classical Mechanics

    The vectors A⃗ = 1 x^− 2 y^ and B⃗ =− 4 x^+ a y^− 4 z^ are perpendicular to each other. What is the value of a?
  5. math

    The position of an object moving in a straight line is given by the function , where s(t) represents distance traveled and t represents the time the object has been in motion. How long (to the nearest tenth) will it take the object …
  6. AP CALC. AB

    1.The position of a particle moving on the line y = 2 is given by x(t)= 2t^3-13t^2+22t-5 where t is time in seconds. When is the particle at rest?
  7. physics

    The position versus time for a certain object moving along the x-axis is shown. The object’s initial position is −2 m. Find the instantaneous velocity at 6 s. Answer in units of m/s
  8. Calc 1

    Consider the position function s(t)=sin((pi)(t)) representing the position of an object moving along a line on the end of a spring. Sketch a graph of s with the secant line passing through (0,s(0)) and (0.5,s(0.5)). Determine the slope …
  9. Math 160

    The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average rate of change of f over [a, b]; its (instantaneous) velocity at …
  10. chabot college

    Consider the position function s(t)=sin((pi)(t)) representing the position of an object moving along a line on the end of a spring. Sketch a graph of s with the secant line passing through (0,s(0)) and (0.5,s(0.5)). Determine the slope …

More Similar Questions