

6. 125POINTSIThe position of a particle is s(t)/2t where s is in meters and t is in seconds. Your answers should includ...
Given position x = 2t + 5t2 (where x is in meters and t is in seconds): A. Calculate the average velocity over the time interval t = 1 s to t = 4 s. Units: m.s-1 B. What is the instantaneous velocity at t = 4 s? Units: m.s-1 C. What is the acceleration of the object? Units: m.s-2 D. In which direction is the object accelerating?
9. The position of a particle at time t is given by s(t) meters, where s(t) = 2t2 – 3t + 1 What is the average velocity for time between 1 second and 3 seconds? (A) 4 m/sec (B) 5 m/sec (C) 10 m/sec (D) 1 m/sec (E) 9 m/sec
The position of a particle in meters is given by x=2.5t+3.1t^2- 4.5t^3, where t is the time in seconds. What are the instantaneous velocity and instantaneous acceleration at t=0.0 s? At t=2.0 s? What are the average velocity and average acceleration for the time interval 0 <t< 2.0 s?
The position of a particle on the x-axis is given by x (7) = 2t ^ 2 + t-5 where x is in meters and t in seconds. The average speed in the time interval of t = 2.0 s at t = 3.0 s is
A particle moves along a straight line and its position at time t is given by s(t)= 2t^3 - 21 t^2 + 60 t where s is measured in feet and t in seconds.a) Find the velocity (in ft/sec) of the particle at time t=0:The particle stops moving (i.e. is in a rest) twice, once when t=A and again when t=B where A < B.b) A isc) B isd)What is the position of the particle at time 14?e)Finally, what is...
The position of a particle as a function of time is given by 7 (t) =11-2t + 3)j + t'k where t is in second. What is the average velocity of the particle in (m/s) between t=0s and t=157 31 2joak 312 31+4k 1214
The position of a particle is given by x=-41+2+2 where x is in meters and t in seconds. a) Find the time when the particle velocity is cero. 6) At that time what is the position?
A particle moves with position given by s(t) = t 1 with t > 0. + where s is in meters and t is in seconds (a) Find the velocity function u(t). (b) Find v(2). Include units in your answer. (c) Find the acceleration function a(t). (d) When is the particle at rest? (You only need to consider t 0.) (e) Find the total distance traveled by the particle on 0 STS 3.
40. The position of a particle in meters is given by x 2.5t+ 3, where tis the time in seconds. What are the 3.1-45, where tis the time in seconds. Wh instantaneous velocity and instantaneous acceleration at /- 0.0 s? Att 2.0 s? What are the average velocity and average acceleration for the time interval 0 sts 2.0 s
The position of a particle s given by: r = 4t2ī + sin (2t), with position and time in meters and seconds respectively. Find its velocity. (5) Since the problem does not specify any requirements, you are free to express the vector using any format you choose. Pick something convenient.