Number 7 The position of a particle for t > 0 is given by m

(a) What is the velocity as a function of time?

(b)  What is the acceleration as a function of time?

(c) What is the particle's velocity at t= 2.0 s?

(d) What is its speed at t= 1.0 s and t= 3.0 s?

(e) What is the average velocity between t= 1.0s and t= 2.0s? Assume all variables and constants are in Sl units.

A particle moves in the xy plane with constant acceleration. At t =0 the particle is at 1 = (4.4 m) + (3.3 m), with velocity 1. At t =3 s, the particle has moved to 2 = (11 m) - (1.9 m)and its velocityhas changed to 2 = (4.5 m/s) - (5.8 m/s).
(a) Find V1.
V1 = _______________ m/s

(b) What is the acceleration of the particle?
a = ______________________ m/s^2
(c) What is the velocity of the particle as a function oftime?
V(t) = _____________________________ m/s


(d) What is the position vector of the particle as a function oftime?
r(t) = _______________________ m

The position of a particular particle as a function of time is given by r = ( 9.60ti + 8.85j - 1.00t^2k)m, where "t" is in seconds. A) Determine the particle's velocity as a function of time. B) Determine the particle's acceleration as a function of time. Both answers must be in terms of unit vectors i, j and k.

A particle starts from the origin at t = 0 and moves along the positive x-axis. A graph of the velocity of the particle as a function of the time is shown in Fig. 2-43;




the v-axis scale is set by vs = 7.00 m/s. (a) What is the coordinate of the particle at t = 5.0 s? (b) What is the velocity of the particle at t = 5.0 s? (c) What is the acceleration of the particle at t = 5.0 s? (d) What is the average velocity of the particle between t = 1.0 s and t = 5.0 s? (e) What is the average acceleration of the particle between t = 1.0 s and t = 5.0 s?