For the above particle, if at t=0s, vx=-4 m/s, what is the velocity at t=20s? With the same condition as in previous problem, what is the average velocity in time interval 0 to 20 s? Yet still for the same setting, what is the average speed in time interval 0 to 20 s? The answer for the average speed is 9.5 m/s not 9.1 m/s like the average velocity is and I can't firgure out why that is. 2 (1...
the velocity of a particle traveling in a straight line is given by v=(6t-3t^2)m/s, where t is in seconds, if s=0 when t= 0. determine the particles deceleration and position when t=3s. how far has the particle traveled during the 3s time interval and what is its average speed?
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...
3.) The position of a particle is given by x(t) = 3t3 – 2t2 – 5t + 10, where t is in seconds and x is in meters. Find the initial position of the particle. Find the position of the particle after 5 seconds. Find the average velocity from 0 sec to t = 5sec Find the instantaneous velocity as a function of time Find the instantaneous velocity at t = 2 seconds. Find the instantaneous velocity at t=4 seconds...
The position of a particle moving with constant acceleration is given by x(t) = 2t2 + 4t + 4 where x is in meters and t is in seconds. (a) Calculate the average velocity of this particle between t = 2 seconds and t = 4 seconds. 16 m/s Correct: Your answer is correct. (b) At what time during this interval is the average velocity equal to the instantaneous velocity? (c) How does this time compare to the average time...
Problem 2 The graph below shows the position (x) as a function of time (t) for a particle moving in one dimension x (m) 6 5 4. 3 2 t(s) 3 4 5 6 7 8 9 10 11 12 (a) During which interval(s) of time is the particle at rest? (b) During which interval(s) of time is the particle's velocity (Vx) negative? (e) During which interval(s) of time is the particle decelerating? (d) Find the particle's velocity at t...
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
QUESTION 8 The velocity of a particle is v-1 9 i + (3-2) j m/s, where t is in seconds. If r:0 when particle in the y direction during the interval t 1 sto t 4 s 0, determine the displacement of the QUESTION 8 The velocity of a particle is v-1 9 i + (3-2) j m/s, where t is in seconds. If r:0 when particle in the y direction during the interval t 1 sto t 4 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...
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.