Question

An object moving at 13 m/s slows uniformly with an acceleration of 2.0 m/s2

for a time of 6.0s. Determine a) its final velocity and b) the distance moved in the 6.0 s.

Answer 1

Given:

$v_0=13\:\rm m/s$

$a=2.0\:\rm m/s^2$

$t=6.0\:\rm s$

a) the final velocity 

$$v=v_0+at\\ =13+2.0*6.0=25\:\rm m/s$$

b) the distance

$$d=v_0t+at^2/2\\ =13*6.0+2.0*6.0^2/2=114\:\rm m$$