The radius rhand mass mh of a black hole are related by rh = 2gmh/c2, where c is the speed of light. assume that the gravitational acceleration agof an object at a distance ro= 1.001rh from the center of a black hole is given by ag = g m / r2 (it is, for large black ) what is ag at rofor a very large black hole whose mass is 1.87 × 1011 times the solar mass of 1.99 × 1030 kg? (b) if an astronaut with a height of 1.70 m is at rowith her feet toward this black hole, what is the difference in gravitational acceleration between her head and her feet?

the area between the graph and the t axis

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s