Question

A bus accelerates to 60 m/s to the east in 10 s. What is the buses acceleration? 2. A car traveling at 10.0 m/s to the west accelerates at 2.0 m/s to the west to reach a speed of 16.0 m/s to the west. How long does it take for this acceleration to occur?

Answer 1

Answers:

1) $a=6\frac{m}{s^{2}}$

2) $t=8s$

Explanation:

1) Acceleration $a$ is defined as the variation of Velocity $V$ in time $t$ :  

$a=\frac{V}{t}$  (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:

$a=\frac{60m/s}{10s}$  (2)

$a=6m/s^{2}$  (3)  This is the bus's accelerration

2) Now we have a car that accelerates $2m/s^{2}$  to the west in order to reach a speed of $16m/s$ in the same direction, and we have to find the time $t$ it takes to the car to reach that velocity.

Therefore we have to find  $t$ from (1):

$t=\frac{V}{a}$  (4)

$t=\frac{16m/s}{2m/s^{2}}$  (5)

Finally:

$t=8s$  (6)