Question

Example 4.4 The position of a particle is
given by
r = 3.0+ i +2.01%j+5.0K
where tis in seconds and the coefficients
have the proper units for r to be in metres.
(a) Find v(t) and a(t) of the particle. (b) Find
the magnitude and direction of vít) at
t= 1.0 s.​

Answer 1

Answer:

(a)

v

(t)=d

r

/dt

=3.0

i

^

−4.0t

j

^

a

(t)=d

v

(t)/dt

=−4.0

j

^

(b)

v

(2)=3.0

i

^

−8.0

j

^

v(2)=8.54m/s

∠v(2)=tan

−1

(−8/3)=−69.44

∘

with x axis

Explanation:

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