x = xo + vot+at², v = vo + āt, v² = v² + 2ax, t = -b± √b²-4ac 2a Problem 1: A ball is thrown straight up from the ground. The ball reaches a maximum height of 5 m. For simplicity, use g = 10 m/sec². a) What is the initial speed of the ball? Answer: 10 m/sec b) What is the time it takes the ball to reach the maximum height of 5 m? Answer: 1 sec c) What is the time it takes the ball to hit the ground? Answer: 2 sec d) At what times is the ball at a height of 3 m above the ground? Answer: 0.37 sec and 1.63 sec e) What is the velocity of the ball when it is at a height of 3 m above the ground? Answer: +6.3 m/sec or -6.3 m/sec.
x = xo + vot+at², v = vo + āt, v² = v² + 2ax, t = -b± √b²-4ac 2a Problem 1: A ball is thrown straight up from the ground. The ball reaches a maximum height of 5 m. For simplicity, use g = 10 m/sec². a) What is the initial speed of the ball? Answer: 10 m/sec b) What is the time it takes the ball to reach the maximum height of 5 m? Answer: 1 sec c) What is the time it takes the ball to hit the ground? Answer: 2 sec d) At what times is the ball at a height of 3 m above the ground? Answer: 0.37 sec and 1.63 sec e) What is the velocity of the ball when it is at a height of 3 m above the ground? Answer: +6.3 m/sec or -6.3 m/sec.
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Chapter1: Units, Trigonometry. And Vectors
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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.
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Transcribed Image Text:-b+√b²-4ac
2a
x = xo + vot + ½ât², v = vô + āt, v² = v² + 2ảAx, t = ²
Problem 1:
A ball is thrown straight up from the ground. The ball reaches a maximum height of 5 m. For
simplicity, use g = 10 m/sec².
a) What is the initial speed of the ball? Answer: 10 m/sec
b) What is the time it takes the ball to reach the maximum height of 5 m? Answer: 1 sec
c) What is the time it takes the ball to hit the ground? Answer: 2 sec
d) At what times is the ball at a height of 3 m above the ground? Answer: 0.37 sec and 1.63
sec
e) What is the velocity of the ball when it is at a height of 3 m above the ground? Answer:
+6.3 m/sec or -6.3 m/sec.
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