A pyrotechnician plans for two fireworks to explode together at the same height in the air. Firework A travels at a speed of 220 feet per second and Firework B travels at a speed of 200 feet per second. Firework B launched 0.25 seconds before Firework A. How many seconds after Firework B launches will they both explode?

Question

mathmale · Answer

The two fireworks achieve the same final height, but we don't know what that height is.  Still, you could write an equation of motion for each of the fireworks and set those two equations = to each other.   This would enable you to find the time, t, at which they exlode at the same height.  Which fireworks are "in flight" longer?  How would you represent their flight times algebraically?

anonymous · Answer

Yes, but i do not know how to write this equation....