The position of a certain particle depends on time according to the following equation. t)25.3t 1.1...
The position of a certain particle depends on time according to the following equation t is in seconds (a) Find the displacement and average velecity for the Interval28ssrs41s (b) Find the general formula for the displacement for the time interviai from tto tt (Use the following as necessary: t, and ar) (c) Use the Smiting process to obtain the instantaneous velocity for any time t.(Use the following as necessary: t.) vth) you can closely appromate the Instantaneous velocty by the...
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. What are the units of (a) constant c and (b) constant b? Let their numerical values be 3.0 and 2.0, respectively. (c) At what time does the particle reach its maximum positive x position? From t=0.0s to t=4.0 s, (d) what distance does the particle move and (e) what is...
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...
The position of a particle moving along the x axis depends on the time according to the equation x = ct3 - bt7, where x is in meters and t in seconds. Let c and b have numerical values 2.5 m/s3 and 1.4 m/s7, respectively. From t = 0.0 s to t = 1.4 s, (a) what is the displacement of the particle? Find its velocity at times (b) 1.0 s, (c) 2.0 s, (d) 3.0 s, and (e) 4.0...
A 5.60-kg particle moves along the x axis. Its position varies with time according to x = t + 4.0t3, where x is in meters and t is in seconds. (a) Find the kinetic energy of the particle at any time t. (Use the following as necessary: t.) K = (b) Find the magnitude of the acceleration of the particle and the force acting on it at time t. (Use the following as necessary: t.) a = F = (c)...
The vector position of a particle varies in time according to the expression - 6.20 - 9.00-2, where † is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any varlable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and...
The vector position of a particle varies in time according to the expression - 3.80 i - 6.601; where is in meters and is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) - m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s? (c) Calculate the particle's position and...
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and velocity...
The vector position of a particle varies in time according to the expression r with arrow = 7.40 î − 5.00t2 ĵ where r with arrow is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) v with arrow = m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol...
22 The position of a particle moving along the x axis depends on me according to the equation x ct-b3, where x is in me- ters and t in seconds, What are the units of (a) constant c and (b) con- stant b? Let their numerical values be 3.0 and 2.0, respectively. (c) At what time does the particle reach its maximum positive x position? From0.0s to t 4.0s, (d) what distance does the particle move and (e) what is...