A projectile with velocity v(t) is launched horizontally at 500 m s¹. Air re- sistance causes the velocity of the projectile to decrease at a rate proportional to the square of the velocity. Gravity is neglected. After 10-6 s, the velocity has decreased by 10%. Determine the time at which the velocity has decreased to 10% of its starting value.
A projectile with velocity v(t) is launched horizontally at 500 m s¹. Air re- sistance causes the velocity of the projectile to decrease at a rate proportional to the square of the velocity. Gravity is neglected. After 10-6 s, the velocity has decreased by 10%. Determine the time at which the velocity has decreased to 10% of its starting value.
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Transcribed Image Text:A projectile with velocity v(t) is launched horizontally at 500 m s-¹. Air re-
sistance causes the velocity of the projectile to decrease at a rate proportional
to the square of the velocity. Gravity is neglected. After 10-6 s, the velocity
has decreased by 10%.
Determine the time at which the velocity has decreased to 10% of its starting
value.
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