One of the tasks of the Mighty Hercules was to protect the town of Nemea from a lion. One day Hercules sees the lion 320 feet away. He strings his bow and lets an arrow fly. The arrow leaves his bow traveling at 210 feet per second from a height of 6 feet. He wants to hit the lion in the neck above the shoulders which is 4 feet off of the ground. a. Verify with calculations that if Hercules uses a launch angle of 20 degrees he will overshoot the lion. b. Play around with different launch angles until you find the one that will hit the lion where he wants. You will need to be accurate to the hundredths place (two places after the decimal). For example, if you get 31 degrees will hit 4.7 that is too high. You might have to use 30.97 to get closer to exactly
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
One of the tasks of the Mighty Hercules was to protect the town of Nemea from a lion. One day Hercules sees the lion 320 feet away. He strings his bow and lets an arrow fly. The arrow leaves his bow traveling at 210 feet per second from a height of 6 feet. He wants to hit the lion in the neck above the shoulders
which is 4 feet off of the ground.
a. Verify with calculations that if Hercules uses a launch angle of 20 degrees he will overshoot the lion.
b. Play around with different launch angles until you find the one that will hit the lion where he wants. You will need to be accurate to the hundredths place (two places after the decimal). For example, if you get 31 degrees will hit 4.7 that is too high. You might have to use 30.97 to get closer to exactly
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