[Physics] Projectile time of ascent not equal to the time of descent

dragnewtonian-gravitynewtonian-mechanicsprojectile

Why is the time of ascent less than the time of descent in a projectile motion.

I understand that while going up the air resistance and gravity act downwards and while coming down gravity is downwards and air resistance upwards but I still dont get it.

Is there another explanation or perhaps a mathematical proof to this ?

Best Answer

For simplicity assume the resistance to be be constant F. During ascent mg and F both oppose motion of the body. During descent F opposes motion while gravity supports it. Thus the rate of decrease in velocity during ascent is greater than the rate of increase in the velocity during descent.

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