vx = 2t2
x =
2t2 dt
x = 2t3/3 + C
at t = 0 , x = 0
so,
C = 0
x = 2*t3/3
at t = 2 s
x = 2*(2)3/3
x = 5.33 m
option 3 is right .
Question 7 Suppose vx-2t2 and vy-12 t + sin(t) + cos(t) + et. If the initial...
1of 1 attempts used Question 7 Suppose v-2t2 and vy-12t+sin(t)+ cos(t)+ et. If the initial position at t-0 is x-0, y-0, what is the final x position after 2 seconds? Select the correct answer O Between 8 and 10 O Between D and 2 O Between 6 and 8 O Between 2 and 4 O Between 4 and 6 SONY 血ね F9 F10 5 6
Question2 An amoeba is crawling with velocities vx-2 and vy-1. If it starts at initial position (0,0) at t=0, what is the final position at t=97 Select the correct answer CHECK ANSWER O of 1 attempts used LAST ATTEMPT O (xy)-(189) O none of the above (x,y)=(18,9) (x,y)-(16,7)
suppose vx=2t? and v,-12 t + sin(t) + cos(t) + e-t. If the initial position at t-0 is x-0, y-0, what is the final x position after 2 seconds?
7. The horizontal velocity of a projectile is assumed constant, vx vo cos Bo- The vertical velocity of the ball can be written as a function of time, vy(t) vo sin o + ayt, where the acceleration ay in the y-direction is assumed constant. a. Set the origin of the coordinate system at the initial position, and use the methods of calculus to write the vector position of the ball as a function of time, ř(t) x(t)i+ y(t)j b. 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...
O 3 Gitt parametriseringa ppgave 7(t) = (cos(t),sin(t), t"), te[0, π], t) - (cos(t), sin(t), t-), og funksjonen f(x, y, z) = (x2 + y2 + 4 . rekn ut kurveintegralet J, / ds
O 3 Gitt parametriseringa ppgave 7(t) = (cos(t),sin(t), t"), te[0, π], t) - (cos(t), sin(t), t-), og funksjonen f(x, y, z) = (x2 + y2 + 4 . rekn ut kurveintegralet J, / ds
Question1 Suppose the initial velocity at t-0 is 3and the final velocity at t-4 is 3i +3j. What is the magnitude of the average acceleration? Select the correct answer O None of the above 0 Between-2 and 1 O Between 1 and 2 O Between-1 and 0 O Between 0 and 1 0 of 1 attempts used ACT ATTCMDT SONY
7. Let V be the space generated by the basis B = {sin(t), cos(t), et}. i.e. V = span(B). Consider the linear transformation T:V + V defined by T(f(t)) = f"(t) – 2f'(t) – f(t). Find the standard matrix of the transformation. (Hint: Associate sin(t) with the vector (0), and so forth.) 8. Show that B = {t2 – 2, 3t2 +t, t+t+8} is a basis for P2, and find the change of coordinates matrix P which goes from B...
(15) 6) A particle moves with acceIeration given by a(t) = COS(t) - sin (t) m /s^2 on the interval [0, 5]. Assume the initial velocity is I m /s and the initial position is at the origin. a) Find the velocity and position functions. b) When is the velocity zero? Positive? Negative? c) What is the maximum and minimum values of position on this interval?