Question

A balloon is going upwards with velocity 12m/s .It releases a packet when it is at a height of 50m. Another body with double the mass thrown up with double the initial velocity will reach a maximum height of

Answer 1

u = 12 m/s
s = -50m
a = -10m/s²
s = ut + 1/2at²
-50 = 12t + 1/2×-10t²
-50 = 12t-5t²
5t²-12t-50 = 0
= 0
t(5t+13)-5(5t+13)
(t-5)(5t+13)
t = 5, t = -13/5
time cannot be-ve
Therefore, -13/5 terminated.
t = 5 seconds