3) The Spider and the Shoe (No air drag. g = 9.81 m/s) During a vacation abroad you get to sleep in a fancy hotel room with high ceilings. As you are trying to fall asleep you spot a large spider crawling on the ceiling right above you. You instinctively reach for your shoe and throw it vertically at the spider, which is at a height H=5.00 m above the shoe's point of release (at which it leaves your hand). a) If the shoe is required to impact the spider at a minimum speed of v = 8.00 m/s in order to kill it, how fast must the shoe be going when it leaves your hand? %3D %3D ) How long t does it take the shoe to reach the ceiling for the situation described in part a)?

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Please answers parts A and B. Please show all work and highlight your answer. Thank you in advanced!
# The Spider and the Shoe (No air drag, \( g = 9.81 \, \text{m/s}^2 \))

During a vacation abroad, you get to sleep in a fancy hotel room with high ceilings. As you are trying to fall asleep, you spot a large spider crawling on the ceiling right above you. You instinctively reach for your shoe and throw it vertically at the spider, which is at a height \( H = 5.00 \, \text{m} \) above the shoe's point of release (at which it leaves your hand).

### a) If the shoe is required to impact the spider at a minimum speed of \( v_f = 8.00 \, \text{m/s} \) in order to kill it, how fast must the shoe be going when it leaves your hand?

### b) How long \( t \) does it take the shoe to reach the ceiling for the situation described in part a)?

**Solution Explanation:**

This problem involves using kinematic equations for motion with constant acceleration, specifically the equations of motion under gravity without air resistance. Given the required speed at the ceiling and the height, you can apply the appropriate kinematic equations to solve for both the initial velocity and the time taken.
Transcribed Image Text:# The Spider and the Shoe (No air drag, \( g = 9.81 \, \text{m/s}^2 \)) During a vacation abroad, you get to sleep in a fancy hotel room with high ceilings. As you are trying to fall asleep, you spot a large spider crawling on the ceiling right above you. You instinctively reach for your shoe and throw it vertically at the spider, which is at a height \( H = 5.00 \, \text{m} \) above the shoe's point of release (at which it leaves your hand). ### a) If the shoe is required to impact the spider at a minimum speed of \( v_f = 8.00 \, \text{m/s} \) in order to kill it, how fast must the shoe be going when it leaves your hand? ### b) How long \( t \) does it take the shoe to reach the ceiling for the situation described in part a)? **Solution Explanation:** This problem involves using kinematic equations for motion with constant acceleration, specifically the equations of motion under gravity without air resistance. Given the required speed at the ceiling and the height, you can apply the appropriate kinematic equations to solve for both the initial velocity and the time taken.
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