Question

A roller coaster is accelerated from rest at 30 m/s² over a distance of 20 m. What is the final velocity of the coaster?

A. 50 m/s
B. 70 m/s
C. 100 m/s
D. 150 m/s

Answer 1

The final velocity of the roller coaster is approximately 34.64 m/s.

Step-by-step explanation:

To find the final velocity of the roller coaster, we can use the equation: v² = u² + 2as where v is the final velocity, u is the initial velocity (which is 0 since the coaster starts from rest), a is the acceleration, and s is the displacement. Given that the acceleration is 30 m/s² and the displacement is 20 m, we can substitute these values into the equation to find the final velocity:

v² = 0² + 2 x 30 x 20

v² = 1200

v = √1200

v ≈ 34.64 m/s

Therefore, the final velocity of the coaster is approximately 34.64 m/s. Option B, 70 m/s, is incorrect.