A ball is thrown in the air @ 30m/s

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A ball thrown straight up at 30 m/s will take 3 seconds to reach the top of its trajectory, as it decelerates at approximately 10 m/s² due to gravity. The height reached can be calculated using the formula d = 1/2(g)t², which shows that it will reach a maximum height of 45 meters. The discussion emphasizes understanding the effects of gravity on upward motion and the relationship between time, velocity, and height. Clarifications on whether to treat gravity as negative when calculating upward motion were also explored. Overall, the problem requires applying basic kinematic equations to solve for time and height.
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Homework Statement


A ball is thrown straight up with an initial speed of 30m/s,
(a) Show that the time it takes to reach the top of its trajectory will be 3 seconds.
(b) Show that it will reach a height of 45m (neglecting air resistance).

Homework Equations


Earth's gravity = 9.8 meter/second² (Professor said to just round it to 10).
Equation unknown.
d=1/2(g)t² ?

The Attempt at a Solution


(a) Played around with Subtracting negative -9.8m/s² (is it considered negative since the ball gets thrown up? - Instead of it coming down?).

(b) 45m = 1/2(9.8m/s²)t² - I figure I need to know "t" before I could solve this.
 
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rdmfresno said:

Homework Statement


A ball is thrown straight up with an initial speed of 30m/s,
(a) Show that the time it takes to reach the top of its trajectory will be 3 seconds.
(b) Show that it will reach a height of 45m (neglecting air resistance).

Homework Equations


Earth's gravity = 9.8 meter/second² (Professor said to just round it to 10).
Equation unknown.

The Attempt at a Solution


(a) Played around with Subtracting negative -9.8 (is it considered negative since the ball gets thrown up? - Instead of it coming down?). I have some free-fall equations and solutions but I couldn't find the relation between them and 'throwing up in the air.'
If the speed is lowered by 10m/s² a second, how would this look in a equation?

(b) No idea where to start

Consider what the definition is of acceleration. It is the rate of change of velocity.

If something starts out at 30 m/s and slows 10 m/s every second, it will reach 0 m/s in how many seconds?

Here are some formulas for you:
https://www.physicsforums.com/showpost.php?p=905663&postcount=2

These lessons might be helpful:
http://www.glenbrook.k12.il.us/gbssci/Phys/Class/vectors/u3l2c.html
 
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Thanks a bunch. Will get started on the lesson.. then try the problem again.
 
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