Physics help **Problem:**A blue car and a red car are racing. They start in the same place at the same time. The blue car starts from rest, and the red car starts at 5 m/s. The blue car accelerates at a rate of 4 m/s², and the red car maintains its speed. When does the blue car catch up to the red car?**Given Information:**- **Blue Car:** - Initial velocity = 0 m/s (starts from rest) - Acceleration = 4 m/s²- **Red Car:** - Constant velocity = 5 m/s**Solution:**Let's set up equations for the distance traveled by each car and find when they are equal, which is when the blue car catches up.**Distance Formula:**- For the blue car with constant acceleration: \[ d_{\text{blue}} = v_i \cdot t + \frac{1}{2} a \cdot t^2 \] \[ d_{\text{blue}} = 0 \cdot t + \frac{1}{2} \cdot 4 \cdot t^2 \] \[ d_{\text{blue}} = 2t^2 \]- For the red car with constant speed: \[ d_{\text{red}} = v \cdot t \] \[ d_{\text{red}} = 5t \]**Set the distances equal to find when they are the same:**\[ 2t^2 = 5t \]Solving for \( t \):\[ 2t^2 - 5t = 0 \]\[ t(2t - 5) = 0 \]This gives possible solutions for \( t \):- \( t = 0 \) (when they start together, but not when the blue car catches up)- \( 2t - 5 = 0 \Rightarrow t = 2.5 \)Thus, the blue car catches up to the red car after 2.5 seconds.

three equation of motion are v = u +at v2 - u2 = 2as s = ut + 0.5gt2 here v = final velocity…

-vel 5. Ablue car and a red car are racing. They start in the same place.at the same time. The blue car starts from rest and the red car starts at 5 m/s. The blue car accelerates at a rate of 4 m/s/s, and the red car maintains its speed. When does the blue car catch up to the red car?

-vel 5. Ablue car and a red car are racing. They start in the same place.at the same time. The blue car starts from rest and the red car starts at 5 m/s. The blue car accelerates at a rate of 4 m/s/s, and the red car maintains its speed. When does the blue car catch up to the red car?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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