2. Assume that the equation ? = ??^3 + ?? correctly describes the motion of an object, where ? is the position (in meters) and ? is the time (in seconds). a) What units must ? and ? have? b) What are the units of the derivative ??/???
2. Assume that the equation ? = ??^3 + ?? correctly describes the motion of an...
(a) Assume the equation x = At 3 +Bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. Determine the dimensions of the constants A and B. (b) Determine the dimensions of the derivative dx/dt = 3At 2 +B
Assume the equation x= At^4 +Bt^2 describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. (a)determine the dimensions of constants A and B (b) then find the derivative of x in respect to t. (c) determine the dimensions of the derivative dx/dt.
(a) Assume the equation x = At3 + Bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. Determine the dimensions of the constants A and B. (Use the following as necessary: L and T, where L is the unit of length and T is the unit of time.) (b) Determine the dimensions of the derivative dx/dt = 3At2 + B. (Use the following as necessary: L and...
2) The magnitude of the acceleration of an object moving in rectilinear motion is a=12 sn, where a is in m/s' and s is the distance of the point from the origin in meters. When the time t is 2 seconds, the point is 16m to the right of the origin and has a velocity of 32m/s to the right and an acceleration of 48m/s to the right. Determine: a) the velocity and acceleration of the particle when time is...
A mass on a spring vibrates horizontally on a smooth level surface. Its equation of motion is x(t) = 8sint where t is in seconds and x in centimeters a) find the velocity and acceleration at time t b) find the position, velocity and acceleration of the mass at time t = 2pi / 3 - Answer must be exact values, no decimals, i.e use the unit circle - please include units c) In what direction is it moving at...
Using the quantities for rotational motion, write an equation that describes spinning motion of an object, for example, a record player, merry-go-round, or a rotating table in your home: a. For an object rotating at a steady speed 2. b. For an object speeding up at a steady rate c. For an object slowing down at a stcady rate
2. A small mass moves in simple harmonic motion according to the equation x = 2 Cos(45t), where "x" displacement from equilibrium point in meters a the time in seconds. Find the amplitude and frequency of oscillation by comparing with the ga equation . X = A cos (w t).
Suppose that the equation of motion for a particle (where ss is in meters and tt in seconds) is: s=(1/3)t^3−3t^2+9t+7 Velocity at time tt = Acceleration at time tt = Acceleration after 1 second: acceleration at the instant when the velocity is 0.
The position x, in meters, of an object is given by the equation x = A + Bt + Ct 2, where t represents time in seconds. What are the SI units of A, B, and C? A m, s, s B m, m/s, m/s2 C m, m, m D m/s, m/s2, m/s3 E m, s, s2
A) Now let's see what we can tell from an equation for position: x(t)=6t^2+4.2t+9x(t)=6t2+4.2t+9 What is the object's initial velocity? Assume each term has units of meters, and that time is in seconds. B) Now let's see what we can tell from an equation for position: x(t)=6t^2+4.2t+9x(t)=6t2+4.2t+9 What is the object's acceleration? Assume each term has units of meters, and that time is in seconds.