A ball rolls off a table 4 ft high while moving at a constant speed of 5 ft / s . (a) How long does it take for the ball to hit the floor after it leaves the tables? (b) At what speed does the ball hit the floor? (c) If a ball were dropped from rest at table height just as the rolling ball leaves the table, which ball would hit the ground first? Justify your answer.
A ball rolls off a table 4 ft high while moving at a constant speed of 5 ft / s . (a) How long does it take for the ball to hit the floor after it leaves the tables? (b) At what speed does the ball hit the floor? (c) If a ball were dropped from rest at table height just as the rolling ball leaves the table, which ball would hit the ground first? Justify your answer.
A ball rolls off a table 4 ft high while moving at a constant speed of
5
ft
/
s
.
(a) How long does it take for the ball to hit the floor after it leaves the tables?
(b) At what speed does the ball hit the floor?
(c) If a ball were dropped from rest at table height just as the rolling ball leaves the table, which ball would hit the ground first? Justify your answer.
You are in the African savanna, having rented a vehicle to explore. You got out of your vehicle, and went out walking. Unfortunately, you spot a lion running toward you, at 10 m/s. Fortunately, it's in the opposite direction from your car.
The lion is 130 meters from you, and you are 80 meters from the car.
Lion --------------------------> You ----------------> Car
You run toward your car at 4 m/s, cursing your habit of locking the car door whenever you got out. If you reach the car, it will take you three seconds to fumble with the keys and unlock it and get in and slam the door shut.
Show your work to answer the question. "Do you escape or are you dinner?"
A rescue plane flies horizontally at a constant speed searching for a disabled boat. When the plane is directly above the boat, the boat's crew blows a loud horn. By the time
the plane's sound detector perceives the horn's sound, the plane has traveled a distance equal to one-third its altitude above the ocean.
(a) If it takes the sound 2.18 s to reach the plane, determine the speed of the plane. Take the speed of sound to be 343 m/s.
m/s
(b) What is its altitude?
m
Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)
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