Two Object Were Projected Vertically upward at different time with speed of 80m/s and 100m/s respectively. if the time interval is 2s. when and where will they meet .

4 answers

which one starts first...
surely the slower one is shot first (per the "respectively")
set their heights equal to find the time when they meet:
80t - 4.9t^2 = 100(t-2) - 4.9(t-2)^2
solve for t to find when
evaluate h(t) to find where

extra credit: is the first object rising or falling when they meet?
if the faster one goes 1st, they don't meet in flight
huh - I would not have guessed that.
In fact, if the slower one goes second, it needs to have an initial speed of at least 90.2 m/s for it to stay aloft long enough to meet the faster one before it hits in 20.48 seconds.