How do measurements of time differ for events in a frame of reference that moves at 50% of the speed of light relative to us? at 99.5% of the speed of light relative to us?

Answer with explanation:

Relation between Speed , Distance and time

Distance =Speed × Time

→It means Speed is inversely Proportional to time.

As distance will remain constant , in that frame of reference

If speed of light in a Medium

Then, time taken to cross the medium = t seconds or hours or another unit of time.

Now, If speed of light is 50% of the speed of light relative to us

    That is Speed of light in another medium

Then, time taken to cross the medium = 2t seconds or hours or another unit of time.

Using Unitary Method

1.154 times the proper time

10.013 times the proper time

Step-by-step explanation:

Speed of light = c

At 50% speed of light

v = 0.5c

Time dilation

Time would differ by 1.154 times the proper time

At 99.5% speed of light

v = 0.995c

Time dilation

Time would differ by 10.013 times the proper time.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.