Answers:
1) [tex]a=6\frac{m}{s^{2}}[/tex]
2) [tex]t=8s[/tex]
Explanation:
1) Acceleration [tex]a[/tex] is defined as the variation of Velocity [tex]V[/tex] in time [tex]t[/tex] :
[tex]a=\frac{V}{t}[/tex] (1)
A body also has acceleration when it changes its direction.
In this case we have a bus with a velocity of 60m/s to the east, that accelerates in a time 10s. So, we have to find the bus's acceleration:
[tex]a=\frac{60m/s}{10s}[/tex] (2)
[tex]a=6m/s^{2}[/tex] (3) This is the bus's accelerration
2) Now we have a car that accelerates [tex]2m/s^{2}[/tex] to the west in order to reach a speed of [tex]16m/s[/tex] in the same direction, and we have to find the time [tex]t[/tex] it takes to the car to reach that velocity.
Therefore we have to find [tex]t[/tex] from (1):
[tex]t=\frac{V}{a}[/tex] (4)
[tex]t=\frac{16m/s}{2m/s^{2}}[/tex] (5)
Finally:
[tex]t=8s[/tex] (6)
