Question

A roller coaster is traveling at 13 m/s when it approaches a hill that is 400 m long. Heading down the hill, it accelerates at 4.0 m/s2. What is the final velocity of the roller coaster?​

Answer 1

Given:

• Initial velocity, u = 13m/s
• Distance, s = 400m
• Acceleration, a = 4m/s²

To find:

• Final velocity, v

Solution:

★ Using 3rd eqⁿ of motion,

• v² = u² + 2as

⇒ v² = 13 × 13 + 2 × 4 × 400

⇒ v² = 169 + 3200

⇒ v² = 3369

⇒ v = √3369

⇒ v = 58m/s

• Hence, the final velocity of the roller coaster is 58m/s.