The position of a particle as a function of time is given by 7 (t) =11-2t...
The position of a particle as a function of time is given by r(t)=(-3.0m/s)ti +(6.0m)j+[ 7.0m-(4.0m/s^3)t^3]k a. what is the particle's displacement between t1=0 and t2=2.0s? b. determine the particle's instantaneous velocity as a function of time. c. what is the particle's average velocity between t1=0s and t2=2.0s? d. Is there a time when the particle has a velocity of zero? e. Determine the particle's instantaneous acceleration as a function of time? Can you please explain the formulas you used...
The position of a particular particle as a function of time is given by r = (9.80t·i-885j-1.00 t2·k)m, where t is in seconds. Part AWhat is the average velocity of the particle between t=1.00 s and t=3.00 S? Part B What is the magnitude of the instantaneous velocity at 3.00 s?
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...
5. The position of a particle as a function of time is given by x(.5 m/)t -(5.0 m/z)2 what is the average velocity of the particle between t = 1.0 s and 1.5 s?
Suppose the position vector for a particle is given as a function of time by r(t) = x(t)i + y(t)j, with x(t) = at + b and y(t) = ct + d, where a - 1.70 m/s, b = 1.50 m, c = 0.116 m/s, and d = 1.04 m. (a) Calculate the average velocity during the time interval from t = 2.05 s to t = 4.05 s. m/s (b) Determine the velocity at t = 2.05 s. m/s...
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 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
Suppose that the position vector for a particle is given as a function of time by r(t) = x(t)1 + y(t)j, with x(t)-at + b and y(t)-ct2 + d, where a-1.90 m/s, b-1.40 m, c 0.130 m/s2, and d 1.08 m. (a) Calculate the average velocity during the time interval from t2.20 s to t3.85s m/s (b) Determine the velocity at t- 2.20 s. m/s Determine the speed at t2.20 s. m/s
6. 125POINTSIThe position of a particle is s(t)/2t where s is in meters and t is in seconds. Your answers should include units a. Find the average velocity first between -0 and -5, then between 18 and t-23. What is happening to the velocity over time (Looking at the graph of s(t) will help you understand why this is happening)? 6. 125POINTSIThe position of a particle is s(t)/2t where s is in meters and t is in seconds. Your answers...
The position of a particle as a function of time is given by x=(2.0m/s)t+(−3.0m/s3)t^3. Part A Plot x versus t for time from t=0 to t=1.0s. Part B Find the average velocity of the particle from t = 0.25 s to t = 0.35 s . Part C Find the average velocity of the particle from t = 0.29 s to t = 0.31 s . Part D Do you expect the instantaneous velocity at t = 0.30 s to...