Question

The distance traveled by a toy car can be modeled by D(t) = t3 − 3t2 + t − 3, where t > 3 represents time in seconds. If the car traveled for t − 3 seconds, identify the expression that represents the speed of the toy car.

Answer 1

Answer:

$t^2+1$

Step-by-step explanation:

We are given that

Distance traveled by a toy car

$D(t)=t^3-3t^2+t-3$

Where t>3

Time taken by car =t-3 seconds

We have to find the expression which represents the speed of the toy car.

We know that

$Speed=\frac{Distance}{time}$

Using the formula

$Speed=\frac{(t^3-3t^2+t-3)}{t-3}$

$Speed=\frac{t^2(t-3)+(t-3)}{t-3}$

$Speed=\frac{(t-3)(t^2+1)}{t-3}$

$Speed=t^2+1$

Hence, the expression  which represents the speed of the toy car

$t^2+1$