the mars rover curiosity is on its way to the landing area on mars.it will desce

Question

the mars rover curiosity is on its way to the landing area on mars.it will descend by using several stages of slowing to achieve a soft landing.
suppose the landing vessel that includes the rover and the rocket has a mass of 2800 kg, and i starts the final slowing down at an altitude of 250 m
above ground with a downward speed of 250mi/h. the slowing is accomplished by the landing rockets firing towards the ground, providing a back thrust. Calculate
the thrust in newtons that is needed for curiosity to land on martian surface at 1.70 mi/h. The acceleration due to gravity on Mars is 3.76 m/^2

Explanation / Answer

here,S = 250 m

the initial speed is u = 1.70 mi/h = 1.70 x (1609.344/3600) m/s

the acceleration is

a = 3.76 m/s^2

we know that

S = ut + (1/2)at^2

solving the above equation for time t

the acceleration of rocket is

ar = (u/t)

the thrust is

F = m x ar

where m = 2800 kg

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