The position of an object moving along an x axis is given by x = 3.12...

The position of an object moving along an x axis is given by x = 3.12 t - 4.08 t² + 1.10 t³, where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity from t = 2 s to t = 4 s?

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genius_generous answered 2 years ago

Chapter 2 Question 5: The position of an object moving along an x axis is given...

Chapter 2 Question 5: The position of an object moving along an x axis is given by, where x is in meters and t is in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object’s displacement between and s? (f) What is its average velocity for the time interval from s to s? Question 6: A pickup vehicle...

The position of a particle moving along the x axis is given in centimeters by x...

The position of a particle moving along the x axis is given in centimeters by x = 9.72 + 1.85 t3, where t is in seconds. Calculate (a) the average velocity during the time interval t = 2.00 s to t = 3.00 s; (b) the instantaneous velocity at t = 2.00 s; (c) the instantaneous velocity at t = 3.00 s; (d) the instantaneous velocity at t = 2.50 s; and (e) the instantaneous velocity when the particle is...

The position of a particle moving along an x axis is given by x = 12.0t2...

The position of a particle moving along an x axis is given by x = 12.0t2 - 4.00t3, 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 = 5.00 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 = 16.0t2...

The position of a particle moving along an x axis is given by x = 16.0t2 - 6.00t3, 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...

he position of a particle moving along an x axis is given by x = 13.0t2...

he 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 = 7.00 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 the x-axis is given by x(t) = t^3 +...

The position of a particle moving along the x-axis is given by x(t) = t^3 + 9t^2 − 21t with t is in [0, 2]. (a) Find the velocity and acceleration of the particle. (b) For what t-values is the velocity 0? (Enter your answers as a comma-separated list.) (c) When is the particle moving to the left (velocity is negative)? (Enter your answer using interval notation.) When is the particle moving to the right (velocity is positive)? (Enter your...

Particle Position and Time The position of a particle moving along the x axis depends on...

Particle Position and Time 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. (a) What dimension and units must c have? s2/ms/m2 m/s2m2/s What dimension and units must b have? m3/ss/m3 s3/mm/s3 For the following, let the numerical values of c and b be 3.3 and 1.0 respectively. (b) At what time does the particle reach its maximum positive...

The position of a particle moving along the x axis depends on the time according to...

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. For the following, let the numerical values of a and b be 3.7 and 1.0 respectively. a) At what time does the particle reach its maximum positive x position? b) What distance does the particle cover in the first 4.0s? c) What is its displacement from t=0s to...

The position function of an object moving along a straight line is given by the function...

The position function of an object moving along a straight line is given by the function t3 - 15t2 -48t -10, where s is in metres and t is in seconds and 0≤15≤t . [7A] a) When is the velocity of the object greater than 21 m/s? b) When is the speed of the object less than 21 m/s? c) Illustrate the graphical representation for each of the above."

The function sequals=?f(t) gives the position of an object moving along the? s-axis as a function...

The function sequals=?f(t) gives the position of an object moving along the? s-axis as a function of time t. Graph f together with the velocity function ?v(t)equals=StartFraction ds Over dt EndFractiondsdtequals=f prime left parenthesis t right parenthesisf?(t) and the acceleration function ?a(t)equals=StartFraction d squared s Over dt squared EndFractiond2sdt2equals=f prime prime left parenthesis t right parenthesisf??(t)?, then complete parts? (a) through? (f). sequals=112112tminus?16 t squared16t2?, 0less than or equals?tless than or equals?77 ?(a heavy object fired straight up from? Earth's...

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