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In Math / Junior High School | 2024-09-09

URGENT!

If a car going 30 m/s approaches a traffic jam and the driver hits the brakes, how long will it take for them to slow to a stop with at a rate of -6.25m/s2? Which equation will help you solve this problem?

Asked by villaale017

Answer (1)

Step-by-step explanation:To determine how long it will take for the car to come to a stop, you can use the following kinematic equation that relates initial velocity, acceleration, final velocity, and time:\[ v = u + at \]where:- \( v \) is the final velocity (0 m/s, since the car comes to a stop),- \( u \) is the initial velocity (30 m/s),- \( a \) is the acceleration (-6.25 m/s², negative because it is deceleration),- \( t \) is the time, which we need to find.Rearrange the equation to solve for \( t \):\[ t = \frac{v - u}{a} \]Plug in the values:\[ t = \frac{0 - 30}{-6.25} \]\[ t = \frac{-30}{-6.25} \]\[ t = 4.8 \text{ seconds} \]So, it will take **4.8 seconds** for the car to come to a stop.

Answered by bautistaryza402 | 2024-09-10