a ball thrown upwards reach the maximum height. find a) the initial speed with which it was thrown and b) the maximum height it reached
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Time taken (t)= 4s
final velocity (v)=0
acceleration (a) = -9.8 ( as it is thrown upward)
a)
let inital velocity be u
using first equation of motion
v = u + at
0 = u + (-9.8)(4)
0 = u - 39.2
39.2 = u
so,
the initial velocity was 39.2 m/s
b)
let maximum height be s
using third equation of motion
2as = v^2 -u^2
2 (-9.8)(s) = 0^2 - (39.2)^2
-19.6 s = - 1536.64
19.6 s = 1536.64
s = 1536.64/19.6
78.4
so, the height covered was 78.4 m
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