Riker and Pickard measure the enterprise in space dock and find that it is 100 m wide and 700 m long. While Riker studies for his next physics exam, Pickard climbs into the enterprise and travels at a speed of 0.4c toward the planet Zandar which is 5 light years away to stop the evil Borgs. a. How far is the planet Zandar according to Riker

This question is incomplete, the complete question;

Riker and Pickard measure the enterprise in space dock and find that it is 100 m wide and 700 m long. While Riker studies for his next physics exam, Pickard climbs into the enterprise and travels at a speed of 0.4c toward the planet Zandar which is 5 light years away to stop the evil Borgs. a. How far is the planet Zandar according to Riker, b. how long does pickard to get to zandar according to Riker

a) distance = 4.7305 × 10¹³ km

b) pickard will get to zandar in 12.5 years

Explanation:

Given that the data in the question;

we know that; speed of light c = 1080000000 km/hr

travel speed v = 0.4c = ( 0.4 × 1080000000 km/hr) = 432,000,000 km/hr

Also we know that;

1 light year = 9.461 × 10¹² km

distance of planet d = 5 light years = (9.461 × 10¹² × 5) = 4.7305 × 10¹³ km

a) Therefore; According to Ricker; the planet zandar is 5 light years away;

distance of planet d = 5 light years = (9.461 × 10¹² × 5)

d = 4.7305 × 10¹³ km

Now, time travel according to Riker

Tr = d/v

we substitute

Tr = 4.7305 × 10¹³ km / 432,000,000 km/hr

Tr = 109,502.3148 hr

convert to years

Tr = 109,502.3148 / ( 24hrs × 365 days)    

Tr = 12.5 years

Therefore; pickard will get to zandar in 12.5 years