A car with an initial speed of 20 m/s accelerates at a uniform rate of 1.00 m/s2for 3.6 seconds. Find the speed and the displacement of the car during this time.

Respuesta :

Answer:

v = 23.6 m/s

d = 78.48 m

Explanation:

Given that,

The initial speed of a car is 20 m/s

Acceleration of the car is 1 m/s²

Time, t = 3.6 s

We need to find the speed and the displacement of the car during this time.

Let v is the speed of the car. So,

[tex]v=u+at\\\\v=20+1\times 3.6\\\\v=23.6\ m/s[/tex]

Let d is the displacement of the car. It can be calculated as follows :

[tex]d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{(23.6)^2-(20)^2}{2\times 1}\\\\d=78.48\ m[/tex]

Hence, the speed and the displacement of the car during this time is 23.6 m/s and 78.48 m respectively.