Saturday

April 19, 2014

April 19, 2014

Posted by **Raf** on Tuesday, October 18, 2011 at 2:51pm.

a) How much time after the passing of Carlos does it take Victoria to catch up to him?

b) What distance did they travel?

- Physicss -
**Steve**, Tuesday, October 18, 2011 at 3:31pmAssuming that Victoria was standing still when Carlos passed her, we have the following equations, calling t=0 when he passes her:

Carlos: s = 1.5t

Victoria: s = .25(t-10)^2

set them equal to find when they have traveled the same distance -- that is, when she passes him.

1.5t = .25(t^2 - 20t + 100)

1.5t = t^2/4 - 5t + 25

t^2/4 - 6.5t + 25 = 0

t^2 - 26t + 100 = 0

t = 13 ± √69

t = 4.7, 21.3

Since Victoria does not start till t=10, the only answer is 21.3, or 11.3 seconds after she started running.

Plug in times to get distances.

**Related Questions**

Physics - 1. Carlos jogs in a straight line at a constant speed of 1.5 m/s. He ...

physicss - A 0.005kg bullet is fired at 400m/s straight into a stationary 1.0kg ...

Physics - Standing Waves - a) A plot of lnv vs. lnT should be a straight line. ...

calculus - hi we have been given a graph and we need to fing its equation. the ...

Straight Lines - The axes being inclined at an angle of 30°, find the equation ...

Child Care - Carlos is playing in the sandbox. Thomas approches the sandbox, ...

Child Care - Carlos is playing in the sandbox. Thomas approches the sandbox, ...

physics - Carlos does a chin-up in gym class and raises himself 0.8 m. If Carlos...

Child Care - Carlos is playing in the sandbox. Thomas approches the sandbox, ...

Math - Creating the best fit straight line through a set of points on a graph is...