Question

r = 3.0t i = - 2.0t² j + 4.0km

where t is in seconds and the cofficients have the proper units for r to be in metres.

(a). Find the v and a of the particle ?
(b). What is the magnitude and direction of velocity of the particle at t = 2.0s​

Answer 1

Answer:

(a)

v(t)=dr/dt

=3.0i^−4.0tj^

a(t)=dv(t)/dt

=−4.0j^

(b)

v(2)=3.0i^−8.0j^

v(2)=8.54m/s

∠v(2)=tan−1(−8/3)=−69.44∘with x axis

Answer 2

Answer:

r = 3.0t i = - 2.0t² j + 4.0km

where t is in seconds and the cofficients have the proper units for r to be in metres.

(a). Find the v and a of the particle ?

(b). What is the magnitude and direction of velocity of the particle at t = 2.0s