Question

The Burj Khalifa in Dubai is the world’s tallest build at 828 m. According to FIFA regulations, a soccer ball must exhibit a restitution ratio greater than 0.82 at a temperature of −20◦C. What is the total vertical distance a soccer ball would travel if dropped from the Burj Khalifa? You may ignore the size of the ball and assume only vertical motion. BONUS: If the restitution ratio was instead 0.99, what is the minimum height you could drop the ball from, such that the total vertical distance travelled equals the height of the Burj Khalifa?

Ans: approx. 8.4 km

Answer 1