The position of a particle moving along the x axis is given by (21 22 6...

Question

Question

The position of a particle moving along the x axis is given by (21 22 6 0 )m 2 x = + t − . t , where t is in s.

What is the average velocity during the time interval t = 1.0 s to t = 3.0 s?

a) –6.0 m/s b) –4.0 m/s c) –2.0 m/s d) –8.0 m/s e) 8.0 m/s

science physics

Answer 1

Answer #1

X = position of the particle = t^-t

X_i = initial position at t =1 , = 1^-1 = 1

X_f = Final position at t = 3 , = 3^-3 = 1/27 = 0.037

average velocity = (X_f - X_i)/(3 - 1) = (0.037 - 1)/2 = - 0.482

Answer 2

Similar Homework Help Questions

The position of a particle moving along the x axis is given by x = (21 + 22t - 6.0t2) m

The position of a particle moving along the x axis is given by x = (21 + 22t - 6.0t2) m, where t is in s. What is the average velocity during the time interval t = 1.0 s to t = 3.0 s?-6.0 m/s-4.0 m/s -2.0 m/s-8.0 m/s8.0 m/s
The position of a particle moving along the x axis is given by x= 6.0.-1.0p, where...

The position of a particle moving along the x axis is given by x= 6.0.-1.0p, where x is in meters and ria seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction? a. 32m b. 12m c. 16 m d. 24 m c. 2.0m 12. 13. The position of a particle moving along the x axis is given by x (21 +221-6.0)m, where t is in s. What is the average...
Vy is the velocity of a particle moving along the x axis as shown. If x...

Vy is the velocity of a particle moving along the x axis as shown. If x = 1.0 m at t= 1.0 s, what is the position of the particle at t = 6.0 s? V (m/s) 4.0 3.0 2.0 1.0 0 1.0 2.0 3.0 4.0 50 6.0 1.0 2.0

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 = 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...
The position of a particle moving along the x axis depends on the time according to the equation x = ct2-bt3

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

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...

Vx is the velocity of a particle moving along the x axis as shown

Vx is the velocity of a particle moving along the x axis as shown. If x = 1.0 m at t= 1.0 s, what is the position of the particle at t = 6.0 s? -2.0 m -1.0 m +2.0 m +1.0 m -3.0 m
The position of a particle moving along the x axis is given by x = 5...

The position of a particle moving along the x axis is given by x = 5 + 6t -3t2 meters, where t is in seconds. What is the average velocity during the time interval t = 2.0s to t=4.0s?
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 = 9.55 + 1.01 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 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 = 9.79 + 1.97 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...