Time and max. height of stone thrown into air.

AI Thread Summary
The discussion focuses on calculating the maximum height and time of flight for a stone thrown vertically upwards with an initial speed of 21.0 m/s. The relevant equations include s = (v^2 - u^2) / (2a) for maximum height and t = (v - u) / a for time. The user initially miscalculated the maximum height, resulting in a negative value, indicating a misunderstanding of the acceleration's direction. Correcting for acceleration as -9.8 m/s² is necessary for accurate results. The thread emphasizes the importance of proper equation application in physics problems.
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Homework Statement



"The initial speed of a stone projected vertically upwards is 21.0m/s

a)What is the maximum height it will reach?

b) How long does it take to reach the highest point and what is the total time which it is in the air?"

Relative information:
a=9.8 m/s/s
u=21.0 m/s
v=0 m/s
s=?
t=?

Homework Equations



I'm not sure, but I thought v^2=u^2+2as rearranged to s=(v^2-u^2)/2a might be the equation I need for a) at least, then for b), v=u+at rearranged to t=(v-u)/a.


The Attempt at a Solution



When I attempted, I got

a) s=(v^2-u^2)/2a
s=(0^2-u^2)/2*9.8
=-22.5

b) ?

I know this can't be right, because I don't think the distance can be negative. Could some kind person please, please help me?
 
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Acceleration acts downwards, so it is supposed to be -9.8 m/s^2 for the acceleration.
 
oooohhhhh :) thankyou !
 
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