Question
Calculating Velocity and Acceleration (15 points) Ahways include the units. YOUR WORK (formula, numbers you start with, AND answer) FOR CREDIT v_(f)=gtimes time for objects in free fall where g=9.8m/s^2 1. What is the final downward velocity of a quarter dropped from a tower after 10 seconds? 2 A penny is dropped into a well that is 275 m deep. What is the downward velocity of the penny after 15 seconds? 3. If a block of wood that fell from a tall building reaches a speed of 78.4m/s , how long has it been falling? 4. An egg-drop experiment was dropped from the top of a building. What is the downward velocity after 4 seconds? 5. An acom fell from an oak tree.What was its speed after 1 second? 6. If a raindrop has a speed of 98m/s how long has it been falling?
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Answer
1. **What is the final downward velocity of a quarter dropped from a tower after 10 seconds?**<br /><br />* Formula: v_f = g * time<br />* g = 9.8 m/s²<br />* time = 10 s<br />* v_f = (9.8 m/s²) * (10 s)<br />* v_f = 98 m/s downward<br /><br />**Answer:** 98 m/s downward<br /><br /><br />2. **A penny is dropped into a well that is 275 m deep. What is the downward velocity of the penny after 15 seconds?**<br /><br />* Formula: v_f = g * time<br />* g = 9.8 m/s²<br />* time = 15 s<br />* v_f = (9.8 m/s²) * (15 s)<br />* v_f = 147 m/s downward<br /><br />**Answer:** 147 m/s downward (Note: The depth of the well is irrelevant to the velocity after 15 seconds of freefall.)<br /><br /><br />3. **If a block of wood that fell from a tall building reaches a speed of 78.4 m/s, how long has it been falling?**<br /><br />* Formula: v_f = g * time<br />* v_f = 78.4 m/s<br />* g = 9.8 m/s²<br />* time = v_f / g<br />* time = (78.4 m/s) / (9.8 m/s²)<br />* time = 8 s<br /><br />**Answer:** 8 seconds<br /><br /><br />4. **An egg-drop experiment was dropped from the top of a building. What is the downward velocity after 4 seconds?**<br /><br />* Formula: v_f = g * time<br />* g = 9.8 m/s²<br />* time = 4 s<br />* v_f = (9.8 m/s²) * (4 s)<br />* v_f = 39.2 m/s downward<br /><br />**Answer:** 39.2 m/s downward<br /><br /><br />5. **An acorn fell from an oak tree. What was its speed after 1 second?**<br /><br />* Formula: v_f = g * time<br />* g = 9.8 m/s²<br />* time = 1 s<br />* v_f = (9.8 m/s²) * (1 s)<br />* v_f = 9.8 m/s downward<br /><br />**Answer:** 9.8 m/s downward<br /><br /><br />6. **If a raindrop has a speed of 98 m/s, how long has it been falling?**<br /><br />* Formula: v_f = g * time<br />* v_f = 98 m/s<br />* g = 9.8 m/s²<br />* time = v_f / g<br />* time = (98 m/s) / (9.8 m/s²)<br />* time = 10 s<br /><br />**Answer:** 10 seconds<br />
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