Projectile Motion Challenge Problem

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dvishnureddy
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Mr. Smith’s dog Rosie takes a flying leap off his bed. The bed is 1m high, and Rosie leaves with a muzzle velocity of 5 m/s [40° above the horizontal].
Sometime after Rosie leaves the bed, Mr. Smith (who is 5m away from the bed) throws a doggie treat to Rosie from ground level with a muzzle velocity of 7 m/s [20° above the horizontal].
How many seconds does Mr. Smith need to wait after Rosie leaves the bed, to throw the treat such that Rosie catches the treat in mid-air on her way down?



First I tried to figure out final velocity & vertical distance for rosie ...which I got as 0.32s & 0.526m respectively.
But I am really not getting an idea about how to proceed further ...Please help me with this.
 
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What does it take for Rosie to catch the treat on her way down?