Just before landing on mars, a spaceshuttle turns on its retroengine and eventually comes to a complete stop 15 meters above the planets surface. It then drops freely down to the surface. How long does it take to fall to the surface.What is the impact speed?
Is the answer 1.5 seconds for the first oneand its impact speed 9.8?
To find the time it takes for the spaceship to fall to the surface of Mars, we can use the equation for time of free fall:
time = √(2 * height / acceleration)
Given that the height is 15 meters, and the acceleration due to gravity on Mars is approximately 3.71 m/s², we can calculate the time it takes for the spaceship to fall:
time = √(2 * 15 / 3.71)
≈ 1.77 seconds
Therefore, it takes approximately 1.77 seconds for the spaceship to fall to the surface of Mars.
Now, let's calculate the impact speed. The impact speed can be determined using the equation for velocity:
velocity = √(2 * acceleration * distance)
Given that the acceleration due to gravity on Mars is 3.71 m/s² and the distance is 15 meters, we can calculate the impact speed:
velocity = √(2 * 3.71 * 15)
≈ 10.29 m/s
Therefore, the impact speed of the spaceship on the surface of Mars is approximately 10.29 m/s.