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Difficult Maths question

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發問:

If a ball is batted at an angle of 35 degree, the distance that the ball travels, as a function of the bat speed, is given approximately by D(v)=0.029v^2+0.021v-1where v is the bat speed in miles per hour and D is distance traveled in feet.1. Find the distance a batted ball will travel if the ball is batted with... 顯示更多 If a ball is batted at an angle of 35 degree, the distance that the ball travels, as a function of the bat speed, is given approximately by D(v)=0.029v^2+0.021v-1 where v is the bat speed in miles per hour and D is distance traveled in feet. 1. Find the distance a batted ball will travel if the ball is batted with a velocity of 90 miles per hour. 2. With what velocity must you hit the ball in order for it to travel at 400 feet.

最佳解答:

1. Distance that the ball will travel = D(90) = 0.029(90)^2 + 0.021(90) - 1 = 235.79 feet 2. For the ball to travel at 400 feet D(v) = 400 0.029v^2 + 0.021v - 1 = 400 0.029v^2 + 0.021v - 401 = 0 Solving the quadratic equation, v = 117.23 or -117.95 (rejected) So, the velocity should be 117.23 miles per hour.

其他解答:7638E748CCC65837