The position of an object as a function of time is given as x= At^3 +...
The position of an object as a function of time is given as x= At^3 + Bt^2 + Ct + D. The constants are A=2.10m/s^3, B=1.00m/s^2, C=-4.10m/s, and D=3.00m.
- What is the velocity of the object at t = 10.0s?
- At what time(s) is the object at rest?
- What is the acceleration of the object t = 0.50s
- What is the acceleration as a function of time for the time interval from = -10.0s to t=10.0s
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The position of an object as a function of time is given
as x= At^3 +...
4. The position of an object as a function of time is given by x(t) at-bt...
4. The position of an object as a function of time is given by x(t) at-bt ct-d, where a 3.6 m/s, b 4 m/s, c = 60 m/s and d= 7 m. (a) Find the instantaneous velocity at t =24 s. (b) Find the average velocity over the first 2.4 seconds, (c) Find the instantaneous acceleration at 2.4 s, (d) Find the average acceleration over the first 2.4 seconds. (Be sure to include the correct signs) (a) and (c) are...
an objects velocity as a function of time is given by v(t)=bt-ct^3, where b and c...
an objects velocity as a function of time is given by v(t)=bt-ct^3, where b and c are positive constants with appropriate units. if the object starts at x=0 at the time t=0, find expressions for a) the time when its again at x=0 and b) its acceleration at that time.
The position x, in meters, of an object is given by the equation x = A...
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
The position in an object as a function of time is given as ? (?) =...
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?
horizontal position, x, of a particle as a function of time is given by the equation...
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
A car’s position as a function of time is given by the following equation: x(t) =...
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?
The acceleration of an object as a function of time is given by a(t) = (1,...
The acceleration of an object as a function of time is given by a(t) = (1, 69 m/s^3)t, where t is in seconds. If the object is at rest at time t = 0 s, what is the velocity of the object at time t = 5, 5 s? Answer with three significant digits.
4. A car's position as a function of time is given by the following equation: x(t)-5...
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?
An object moves such that its position on the x-axis is given by the function x(t)=a+bt+ct2,...
An object moves such that its position on the x-axis is given by the function x(t)=a+bt+ct2, where t is time. Given that x(1)=10, x(2)=11, and x(3)=2 find the coefficients a, b, and c. (Linear Algebra Question)
The angular position of a rotating object is given as a function of time by ?...
The angular position of a rotating object is given as a function of time by ? = 4t 3 - 3t, where ? is in radians and t is in seconds. What is its angular acceleration at t = 2 s? A None of the choices are correct. B 48 rad/s2 C 42 rad/s2 D 24 rad/s2 E 45 rad/s2
4. The position of an object as a function of time is given by x(t) at-bt ct-d, where a 3.6 m/s, b 4 m/s, c = 60 m/s and d= 7 m. (a) Find the instantaneous velocity at t =24 s. (b) Find the average velocity over the first 2.4 seconds, (c) Find the instantaneous acceleration at 2.4 s, (d) Find the average acceleration over the first 2.4 seconds. (Be sure to include the correct signs) (a) and (c) are...
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 acceleration of an object as a function of time is given by a(t) = (1, 69 m/s^3)t, where t is in seconds. If the object is at rest at time t = 0 s, what is the velocity of the object at time t = 5, 5 s? Answer with three significant digits.
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?
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