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Spruance
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1) What is the initial speed v0 of the ball?
2)What is the height of the ball when the vertical speed is 1/2 of the initial speed vo?
Thanks
(I'm so sorry for my bad english. It's not my mother tongue)
Last edited:
you forgot a 2 in the first equation but then you put it back later so the answer should be right. How do you know it's not? (if you are using Webassign, it may be simply a question of sig figs)Spruance said:To solve for the initial speed v0:
v0^2 = v^2 + 2gh - gh0
v0 = (v^2 + 2gh - gh0)^1/2
v0 = (2g(h-h0))^1/2
v0 = (2 * 9.81 (4 m -3 m))^1/2
v0 = 4.43 m/s
What is wrong?
you shoudl have mentioned that you has switched to question 2 now...Spruance said:Ok.
Let us assume that the initial speed is 4.43 m/s
then the height of ball is given:
h = 1/2 (3/4 vo2)/g + ho =
3/8 (vo2)/g + ho
= 3/8 * ((4.43^2)/9.81) + 3
= 3.75 m
Is that correct?
Initial speed, also known as the initial velocity, is the rate at which an object moves in a specific direction at the beginning of its motion. It is typically measured in units of meters per second (m/s).
The initial speed refers to the velocity of an object at the start of its motion, while the final speed is the velocity at the end of its motion. The initial speed can be different from the final speed if the object accelerates or decelerates during its motion.
The initial speed of a ball can be affected by several factors, including the force applied to the ball, the angle at which it is thrown or launched, the mass of the ball, and the air resistance or drag on the ball.
The initial speed can be calculated using the formula v0 = (s/t), where v0 is the initial speed, s is the distance the object travels, and t is the time it takes to travel that distance. Alternatively, if the initial and final speeds are known, the initial speed can be calculated using the formula v0 = (v + vf)/2, where v is the initial speed and vf is the final speed.
Knowing the initial speed of a ball is important in understanding and predicting its motion. It can help determine the trajectory of the ball, how far it will travel, and how fast it will move. This information is valuable in various fields such as sports, engineering, and physics.