Let x be the angle (in degrees) at which a baseball is hitwith no spin at an ini
ID: 3094015 • Letter: L
Question
Let x be the angle (in degrees) at which a baseball is hitwith no spin at an initial speed of 40meters per second and letd(x) be the distance (in meters) the ball travels. the table showsthe distances for the different angles at which the ball ishit. x 10 15 30 36 42 44 45 48 54 60 d(x) 58.3 79.7 126.9 136.6 140.6 140.9 140.9 139.3 132.5 120.5 1. use the regression feature of a graphing utility to find aquadratic model for d(x) 2. find the vertes of the graph of the model. and interpretits meaning in the context of the problem. Let x be the angle (in degrees) at which a baseball is hitwith no spin at an initial speed of 40meters per second and letd(x) be the distance (in meters) the ball travels. the table showsthe distances for the different angles at which the ball ishit. x 10 15 30 36 42 44 45 48 54 60 d(x) 58.3 79.7 126.9 136.6 140.6 140.9 140.9 139.3 132.5 120.5 1. use the regression feature of a graphing utility to find aquadratic model for d(x) 2. find the vertes of the graph of the model. and interpretits meaning in the context of the problem.Explanation / Answer
Using a graphing calculator, the quadratic regression equation isfound to be d(x)=0.074x2+6.44x+0.634. Using thecalculator, the vertex of the graph is found to be the point (43.5,141). In the context of the problem, this can be interpreted thathitting the ball at an angle of 43.5o, the ball willtravel a distance of 141meters at an initial speed of 40meters persecond.
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