A ball is thrown downward at a speed of 20 m/s. Choosing

Chapter 2, Problem 8MCQ

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QUESTION:

A ball is thrown downward at a speed of 20 m/s. Choosing the \(+y\) axis pointing up and neglecting air resistance, which equation(s) could be used to solve for other variables? The acceleration due to gravity is \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\) downward.

(a) \(v=(20 \mathrm{~m} / \mathrm{s})-g t\).

(b) \(y=y_{0}+(-20 \mathrm{~m} / \mathrm{s}) t-(1 / 2) g t^{2}\).

(c) \(v^{2}=(20 \mathrm{~m} / \mathrm{s})^{2}-2 g\left(y-y_{0}\right)\).

(d) \((20 \mathrm{~m} / \mathrm{s})=\left(v+v_{0}\right) / 2\).

(e) All of the above.

Equation Transcription:

Text Transcription:

+y

g = 9.8m/s^2

v = (20 m/s) - gt

y = y_0 + (-20 m/s)t - (1/1) gt^2

v^2 = (20 m/s)^2 - 2g(y - y_0)

(20 m/s) = (v + v_0)/2

Questions & Answers

QUESTION:

A ball is thrown downward at a speed of 20 m/s. Choosing the \(+y\) axis pointing up and neglecting air resistance, which equation(s) could be used to solve for other variables? The acceleration due to gravity is \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\) downward.

(a) \(v=(20 \mathrm{~m} / \mathrm{s})-g t\).

(b) \(y=y_{0}+(-20 \mathrm{~m} / \mathrm{s}) t-(1 / 2) g t^{2}\).

(c) \(v^{2}=(20 \mathrm{~m} / \mathrm{s})^{2}-2 g\left(y-y_{0}\right)\).

(d) \((20 \mathrm{~m} / \mathrm{s})=\left(v+v_{0}\right) / 2\).

(e) All of the above.

Equation Transcription:

Text Transcription:

+y

g = 9.8m/s^2

v = (20 m/s) - gt

y = y_0 + (-20 m/s)t - (1/1) gt^2

v^2 = (20 m/s)^2 - 2g(y - y_0)

(20 m/s) = (v + v_0)/2

ANSWER:

Step 1 of 2

Given data:

Initial velocity of the ball:

Acceleration due to gravity

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