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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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