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While traveling along a highway a driver slows from 24 m/s to 15 m/s in 12 seconds. What is the automobile’s acceleration? (Remember that a negative value indicates a slowing down or deceleration.)

2 Answers

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Final answer:

The automobile's acceleration is -0.75 m/s², which indicates deceleration since the vehicle is slowing down.

Step-by-step explanation:

To calculate the automobile's acceleration, we use the formula for average acceleration, which is a = Δv/Δt, where Δv is the change in velocity and Δt is the change in time. The driver slows from 24 m/s to 15 m/s, which is a change of -9 m/s (Δv = v_f - v_i = 15 m/s - 24 m/s = -9 m/s), over 12 seconds (Δt = 12 s).

Now, we can calculate the acceleration:


a = Δv/Δt = -9 m/s / 12 s = -0.75 m/s²

The negative sign indicates that this is indeed a deceleration, as the driver is slowing down.

User Stkvtflw
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I don't get it what does m/s mean its

r= t/d Rate, time, and distance
time 30min distance 5miles divide 30 = 6 rate is 5 miles every 6min I think

I don't understand but that's how you calculate rate :P
User Thpl
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6.0k points