Question

if the speed and time travelled by the car is given by the expression x²+2x+5 and respectively, what is the distance travelled by the car?with solutions please​

Answer 1

Distance =
`x^3+4x^2+9x+10`

Step-by-step explanation:

Given that,

The speed of the car, v = x²+2x+5

Time taken by the car, t = (x+2)

We need to find the distance traveled by car. The speed of an object is equal to the distance covered divided by the time taken. So,

`d=v* t\\\\d=(x^2+2x+5)* (x+2)\\\\=x^3+2x^2+5x+2x^2+4x+10\\\\=x^3+4x^2+9x+10`

So, the distance covered by the car is
`x^3+4x^2+9x+10`.