Question
An object is thrown vertically upward from the ground, if it reaches a height of 18 meters in 3 seconds, at what speed was the object thrown?
Answers
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Answered by
GPT 3.5
To find the initial velocity at which the object was thrown, we can use the following equation of motion for an object thrown vertically upward:
v = u + gt
Where:
v = final velocity (0 m/s at maximum height)
u = initial velocity (what we need to find)
g = acceleration due to gravity (approximately 9.81 m/s^2)
t = time taken (3 seconds)
We can rearrange this equation to solve for initial velocity:
0 = u + (9.81 m/s^2) * 3s
0 = u + 29.43
u = -29.43 m/s
Therefore, the object was thrown upward at an initial speed of 29.43 m/s.
v = u + gt
Where:
v = final velocity (0 m/s at maximum height)
u = initial velocity (what we need to find)
g = acceleration due to gravity (approximately 9.81 m/s^2)
t = time taken (3 seconds)
We can rearrange this equation to solve for initial velocity:
0 = u + (9.81 m/s^2) * 3s
0 = u + 29.43
u = -29.43 m/s
Therefore, the object was thrown upward at an initial speed of 29.43 m/s.
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