your position as a function of time is given by the following equation
your position as a function of time is given by the following equation
A car’s position as a function of time is given by the following equation: x(t) = 5 m/s t + 2.8 m/s2t2– 0.15 m/s3t3. Find the average velocity from 0 to 5 s. Find the instantaneous velocity at 0, 3, and 5 s. Find the average acceleration from 0 to 5 s. Find the instantaneous acceleration at 0, 3, and 5 s. At what POSITIVE time does the car come to rest?
horizontal position, x, of a particle as a function of time is given by the equation xo + vo t + ½ at' , where xa vo and ao are constants. Find the velocity as a function of time. (2) Ifx0 2.0 m and vo 2.0 m/s and ao 1.0 m/s, find the acceleration of the particle in problem (1) at the time t-10.0 s
The speed of an object function of time is given by the following equation: a. What is the magnitude of the object's acceleration (in m/s2) at t = 11 s? b. What is the object's position if it started at x = 3 m?
4. A car's position as a function of time is given by the following equation: x(t)-5 m/s t+2.8 m/s2 t-0.15 m/s3 t3. a. Find the average velocity from 0 to 5 s b. Find the instantaneous velocity at 0, 3, and 5s. c. Find the average acceleration from 0 to 5 s. d. Find the instantaneous acceleration at 0, 3, and 5 s. e. At what POSITIVE time does the car come to rest?
13.6 The equation for the position as a function of time for an oscillating spring is given by x 15 cm cos 47at a) What is the frequency? b) If the mass on the spring is 400 g, what is the spring constant of the spring? c) What is the position at t-0.023 82 d) What is the position at rad 1 0.08 s
The position of a particle as a function of time is given by the following formula: r(t) = (20t^2 + 10)i + 5t^3j What is the magnitude of the acceleration at a time t = 2 s? (Assume SI units throughout.)
An object's position is given by the equation:a. What is the velocity of the object as a function of time? b. What is the acceleration of the object as a function of time? c. What is the magnitude of the instantaneous velocity at t = 3.0 s? d. What is the direction of the acceleration? (specify an angle relative to the + x axis).
Suppose that the position vector of a particle is given by the following function of time: r = (6.0 + 2.0t^2)i + (3.0 - 2.0t + 3.0t^2)j where distance is measured in meters and time in seconds. (a) What is the instantaneous velocity vector at t=2.0 s? What is the magnitude of this vector? (b) What is the instantaneous acceleration vector? What are the magnitude and direction of this vector?
The position in an object as a function of time is given as ? (?) = ?? + ??^-3. X is expressed in meters and t in seconds. A. What are the units of A and B? B. What is the speed and acceleration for t = 3 seconds?
An object's position is given as a function of time by where b and c are constants. (a) What are the SI units of b and c? (b) Find the object's velocity as a function of time. (c) Find the object's acceleration at time t = 0.