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Diwakar
Consider projectile motion taking into consideration the effect of air resistance. Let time taken to reach maximum height=t1. Time taken to get back to the ground from maximum height=t2. How are t1 and t2 related? i.e. is t1>t2 or t1<t2 or t1=t2. PLEASE ANSWER WITH AN EXPLANATION!!
t1<t2|dw:1356713408530:dw| air drag is proportional to v^2 and changes direction when object falls. air drag INcreases the average deceleration on the way up and DEcreases the acceleration on the way down. The distance is equal so time must be longer on way down.
Compare speeds at equal altitude on the way up and on the way down.
Ok, I didn't consider that initial velocity would be greater than final.
There is also the special case of initial vertical velocity is greater than terminal velocity in free-fall. In that case the return would be much longer.