Answer:
331.7m/s
Step-by-step explanation:
Given parameters: 
Initial velocity = 100m/s 
Acceleration = 50m/s² 
Distance = 1km = 1000m 
Unknown: 
Final velocity = ? 
Solution: 
To solve this problem, we have to apply the right motion equation shown below; 
 v² = u² + 2aS
 v is the final velocity 
 u is the initial velocity 
 a is the acceleration
 S is the distance 
 Now insert the parameters and solve; 
 v² = 100² + (2 x 50 x 1000)
 v² = 110000
 v = √110000 = 331.7m/s