Questions: Time a: Estimate the rise and run. rise 800 run 0.001 Compute the acceleration at time a. (Use your estimates.) 800,000 m/s^2 Time b: Estimate the rise and run. rise 0 Your value is acceptable. m/s run 0.001 s Compute the acceleration at time b. (Use your estimates.) 0 m/s^2 Time c: Estimate the rise and run. rise Your value is acceptable. m/s run × 5 Compute the acceleration at time c. (Use your estimates.)

Time a:
Estimate the rise and run.
rise 800
run 0.001

Compute the acceleration at time a. (Use your estimates.) 800,000 m/s^2

Time b:
Estimate the rise and run.
rise 0 Your value is acceptable. m/s
run 0.001 s
Compute the acceleration at time b. (Use your estimates.)
0 m/s^2

Time c:
Estimate the rise and run.
rise Your value is acceptable. m/s
run × 5

Compute the acceleration at time c. (Use your estimates.)
Transcript text: Time a: Estimate the rise and run. rise 800 run 0.001 Compute the acceleration at time a. (Use your estimates.) $800,000 \sim \mathrm{~m} / \mathrm{s}^{2}$ Time b: Estimate the rise and run. rise $0 \quad$ Your value is acceptable. $\mathrm{m} / \mathrm{s}$ run $0.001 \quad s$ Compute the acceleration at time b. (Use your estimates.) $0 \quad \mathrm{~m} / \mathrm{s}^{2}$ Time c: Estimate the rise and run. rise $\square$ Your value is acceptable. $\mathrm{m} / \mathrm{s}$ run $\square$ $\times 5$ Compute the acceleration at time c. (Use your estimates.) $\square$
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Solution

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Solution Steps

Step 1: Calculate acceleration at time a

The rise is approximately 800 m/s and the run is 0.001 s. Acceleration is rise/run.

Acceleration = \( \frac{800}{0.001} = 800,000 m/s^2 \)

Step 2: Calculate acceleration at time b

The rise is 0 m/s and the run is 0.001 s. Acceleration is rise/run.

Acceleration = \( \frac{0}{0.001} = 0 m/s^2 \)

Step 3: Calculate acceleration at time c

The rise is approximately -850 m/s and the run is approximately 0.0002 s. Acceleration is rise/run.

Acceleration = \( \frac{-850}{0.0002} = -4,250,000 m/s^2 \)

Final Answer

The accelerations are: a: \( \boxed{800,000 m/s^2} \) b: \( \boxed{0 m/s^2} \) c: \( \boxed{-4,250,000 m/s^2} \)

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