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(m)/(s^(2))`

2)
`t=8s`

Step-by-step explanation:

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

`a=(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=(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=(V)/(a)` (4)

`t=(16m/s)/(2m/s^(2))` (5)

Finally:

`t=8s` (6)