When the twin Mars exploration rovers, Spirit and Opportunity, setdown on the surface of the red planet in January of 2004, theirmethod of landing was both unique and elaborate. After initialbraking with retro rockets, the rovers began their long descentthrough the thin Martian atmosphere on a parachute until theyreached an altitude of about 16.7 m. At that point a system of fourair bags with six lobes each were inflated, additional retro rocketblasts brought the craft to a virtual standstill, and the roversdetached from their parachutes. After a period of free fall to thesurface, with an acceleration of 3.72m/s^2 , the rovers bouncedabout a dozen times before coming to rest. They then deflated theirair bags, righted themselves, and began to explore thesurface.
The figure shows a rover with its surrounding cushion of air bagsmaking its first contact with the Martian surface. After a typicalfirst bounce the upward velocity of a rover would be 9.92 m/s at anangle of 75.0 degrees above the horizontal. Assume this is the casefor the problems that follow.
What is the maximum height of a rover between its first and secondbounces?
148
2.58
12.3
4.68
When the twin Mars exploration rovers, Spirit and Opportunity, setdown on the surface of the red planet in January of 2004, theirmethod of landing was both unique and elaborate. After initialbraking with retro rockets, the rovers began their long descentthrough the thin Martian atmosphere on a parachute until theyreached an altitude of about 16.7 m. At that point a system of fourair bags with six lobes each were inflated, additional retro rocketblasts brought the craft to a virtual standstill, and the roversdetached from their parachutes. After a period of free fall to thesurface, with an acceleration of 3.72m/s^2 , the rovers bouncedabout a dozen times before coming to rest. They then deflated theirair bags, righted themselves, and began to explore thesurface.
The figure shows a rover with its surrounding cushion of air bagsmaking its first contact with the Martian surface. After a typicalfirst bounce the upward velocity of a rover would be 9.92 m/s at anangle of 75.0 degrees above the horizontal. Assume this is the casefor the problems that follow.
What is the maximum height of a rover between its first and secondbounces?
148
2.58
12.3
4.68
