1. A particle moves with a fixed acceleration 3 . If its initial velocity is v(0

Question

1. A particle moves with a fixed acceleration 3 . If its initial velocity is v(0) = 2 m/s, and its initial displacement is s(0) = 0.

(a) Find its velocity function v(t).

(b) How longs does it take for the particle reach the velocity 14 ?

(c) Find the distance the particle traveled when its velocity reaches 14 .

Explanation / Answer

a.)

a=3 m/s^2

v(0)=2 m/s

s(0)=0

v=u+at

=> v=u+3t

at t=0,

=> u=2+0

=> u=2.

So, v=2+3t

b.)

v=u+at

=> 14=2+3t

=> 12=3t

=> t=4 sec.

c.)

s=ut+(1/2)at^2=2*4+(1/2)*3*16=8+3*8=24+8=32 m.

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