a descent vehicle landing on Maes has a vertical velocitytoward the surface of M
ID: 1726368 • Letter: A
Question
a descent vehicle landing on Maes has a vertical velocitytoward the surface of Mars of 5.5 m/s. At the same time, ithas a horizontal velocity of 3.5 m/s. A). at what speed does the vehicle move along its descentpath? B).At what angle with the vertical is this path? a descent vehicle landing on Maes has a vertical velocitytoward the surface of Mars of 5.5 m/s. At the same time, ithas a horizontal velocity of 3.5 m/s. A). at what speed does the vehicle move along its descentpath? B).At what angle with the vertical is this path?Explanation / Answer
Vertical component of velocity, Vy = 5.5 m/s (downward ) Horizontal component of velocity, Vx = 3.5m/s (a) Net velocity, V = [ ( Vx ) 2+ ( Vy ) 2 ] = [ ( 3.5 ) 2 + ( 5.5 ) 2 ] = 6.52 m/s (b) Direction of velocity with vertical , =arc tan ( Vx / Vy ) = arc tan ( 3.5 / 5.5 ) = 32.47o ( with vertical )
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