Anew spacecraft is built with an engine that is able to produce constant acceleration of 1g, where g = gravity’s acceleration on earth = 10m/s^2. a) calculate how long it would take the starship to reach a velocity of 0.9c where c is the speed of light. b) calculate how far the spaceship would travel during this time and compare this to our nearest neighbor in space, alpha centauri

given that acceleration due to gravity is g = 10 m/s^2

speed of the rocket will reach to 0.9c

now by kinematics

Part b)

distance traveled by it in above time

so this is the distance covered by the object

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.