Although Evel Knievel never succeeded in jumping over the Grand Canyon, he was f

Question

Although Evel Knievel never succeeded in jumping over the Grand Canyon, he was famous for jumping (with the help of his motorcycle) over, among other things, 12 large trucks. This jump covered an approximate distance of 30 m. What was Mr. Knievel's minimum initial velocity for this jump? Ignore air drag. Recognize the Principles You need to calculate the range of Mr. Knievel's motorcycle. This is the distance between his location at takeoff and landing. Which of the following principles can be used to find the range of a projectile? The range of a projectile launched from ground level is determined by its initial velocity. If the total force acting on an object is zero its acceleration is zero. The acceleration due to gravity, g. varies slightly from place to place on Earth. At terminal speed there is no further acceleration. Sketch the Problem Identify the Relationships Which relation correctly gives the maximum range of Mr. Knievel? Xlands = V02 Xlands = V02vo2sin(theta)/g Xlands = V02sin(2 theta)/g Solve Estimates If Mr. Knievel is just barely able to successfully complete the jump, he must choose his takeoff angle theta to give the maximum range. What angle 0 gives the greatest range? degrees Calculations (use your estimates) What must the takeoff speed of the motorcycle be? m's

Explanation / Answer

a) (30* 9.8)^1/2= 17.146m/s

b) the range of projectile is determined by its initial velocity

c) x= v^2sin(2thetha)/g

4. 45 degree

17.146m/s

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