QuestionJuly 15, 2025

A car is being driven at a rate of 60ft/sec when the brakes are applied. The car decelerates at a constant rate of 10ft/sec^2 . How long will it take before the car stops ? Round your answer to one decimal place. Your Answer: square

A car is being driven at a rate of 60ft/sec when the brakes are applied. The car decelerates at a constant rate of 10ft/sec^2 . How long will it take before the car stops ? Round your answer to one decimal place. Your Answer: square
A car is being driven at a rate of 60ft/sec
when the brakes are applied. The car
decelerates at a constant rate of
10ft/sec^2 . How long will it take before
the car stops ? Round your answer to one
decimal place.
Your Answer:
square

Solution
4.7(212 votes)

Answer

6.0 seconds Explanation 1. Identify the initial velocity and deceleration Initial velocity v_0 = 60 \, \text{ft/sec}, deceleration a = -10 \, \text{ft/sec}^2. 2. Use the formula to find time Use **v = v_0 + at** where final velocity v = 0 (car stops). Solve for t: \[ 0 = 60 - 10t \] 3. Solve for time Rearrange to find t: \[ 10t = 60 \] \[ t = \frac{60}{10} = 6 \]

Explanation

1. Identify the initial velocity and deceleration<br /> Initial velocity $v_0 = 60 \, \text{ft/sec}$, deceleration $a = -10 \, \text{ft/sec}^2$.<br /><br />2. Use the formula to find time<br /> Use **$v = v_0 + at$** where final velocity $v = 0$ (car stops). Solve for $t$: <br />\[ 0 = 60 - 10t \]<br /><br />3. Solve for time<br /> Rearrange to find $t$: <br />\[ 10t = 60 \]<br />\[ t = \frac{60}{10} = 6 \]
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