Question

A car is going 8 meters per second on an access road into a highway

Answer 1

Answer:

20.96 m/s is the final speed.

Step-by-step explanation:

Given that:

Initial speed of the car = 8 m/s

Acceleration of the car = 1.8 m/$s ^{2}$

Time for which the car accelerates = 7.2 seconds

To find:

The speed of car after accelerating for 7.2 seconds at an acceleration of 1.8 m/$s ^{2}$ = ?

Solution:

First of all, let us have a look the formula given for the final velocity of an object with given initial speed, acceleration and time:

$v=u+at$

Where $v$ is the final speed of object

$u$ is the initial speed of an object

$a$ is the acceleration of object and

$t$ is the time

Here, $u = 8\ m/s$

$a = 1.8\ m/s^{2}$ and

$t = 7.2\ seconds$

To find:

$v = ?$

Let us put all the given values in the formula:

$v =8+1.8 \times 7.2\\\Rightarrow v =8+12.96\\\Rightarrow \bold{v =20.96\ m/s}$

So, the answer is:

20.96 m/s is the final speed.