3. what can you determine about the speed of the blue car?
a the blue cars speed is the same as the red cars speed.
b the blue cars speed is less than the trucks speed.
c the blue cars speed is equal to the trucks speed.
d the blue cars speed is greater than the red cars speed.

Question

Accepted Answer

# Explanation:
## Step1: Calculate kinetic energy of red car
The formula for kinetic energy $KE=\frac{1}{2}mv^{2}$. For the red car, $m = 1500\space kg$ and $v=15\space m/s$.
$$
\begin{align*}
KE_{red}&=\frac{1}{2}\times1500\times15^{2}\
& = 750\times225\
&=168750\space J
\end{align*}
$$
## Step2: Assume kinetic energy of blue car is same as red car (since no other info about $KE$ difference is given in problem context of comparing speeds)
Let $m_{blue}=1500\space kg$ (same mass as red car, assume same $KE$ as red car for speed comparison). Using $KE=\frac{1}{2}mv^{2}$, and since $KE_{blue} = KE_{red}=168750\space J$
$$
\begin{align*}
168750&=\frac{1}{2}\times1500\times v_{blue}^{2}\
v_{blue}^{2}&=\frac{168750\times2}{1500}\
v_{blue}^{2}& = 225\
v_{blue}&=15\space m/s
\end{align*}
$$

# Answer:
A. The blue car's speed is the same as the red car's speed.

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Calculate kinetic energy of red car

Step2: Assume kinetic energy of blue car is same as red car (since no other info about \(KE\) difference is given in problem context of comparing speeds)

Answer: