P.0.0.#8, PAGE 3 NAME: POD8-PROBLEM 3. In the 1991 World Track and Field Champio

Question

P.0.0.#8, PAGE 3 NAME: POD8-PROBLEM 3. In the 1991 World Track and Field Championships in Tokyo, Mike Powell jumped 8.95 m, breaking by a full 5cm the 23-year long jump record set by Bob Beamon. Assume that Powel's speed on take-off was 9.5m/s (imagine that his run is equal to a short sprint). In Tokyo, the acceleration due to gravity is measured to be 9.80m/s2. If a particle were launched at this same speed, what would the maximum height be? How much off was Powell's jump from this maximum? Discuss why Powell's jump may not have made this height

Explanation / Answer

His initial speed =9.5m/s

Maximum height travelled=v^2/(2*g)

We got

Maximum height=4.6 m

Although this height cannot be achieved practically because of

(i) There will be air resistance along with gravity

(ii) It may not be possible to jump at 90 degree exactly.

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