Task 4: a) The field of view for an infra-red detector has a non-linear area. Measurements...

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Task 4: a) The field of view for an infra-red detector has a non-linear area. Measurements of this sensitive area are taken at equal 1-metre intervals across the horizontal plane, and the corresponding height of the sensitive field is recorded at each point. The experimental data is given in the table below. Vertical sensitive height [m] Horizontal measurement point 4 12 12 12 6 2 2 2 6 12 12 1 2 3 4 5 6 7 8 9 10 11 [m] b) Sketch the total sensitive area for the field of view for the sensor and use a numerical integration technique of your choice to quantify an estimate for this area. Use the Newton-Raphson iterative method to determine the positive root of the quadratic voltage equation given below. Express your answer to three significant figures. Check the value of the root by using the quadratic formula. v=3t2 +5t 17 [V] Task 4: a) The field of view for an infra-red detector has a non-linear area. Measurements of this sensitive area are taken at equal 1-metre intervals across the horizontal plane, and the corresponding height of the sensitive field is recorded at each point. The experimental data is given in the table below. Vertical sensitive height [m] Horizontal measurement point 4 12 12 12 6 2 2 2 6 12 12 1 2 3 4 5 6 7 8 9 10 11 [m] b) Sketch the total sensitive area for the field of view for the sensor and use a numerical integration technique of your choice to quantify an estimate for this area. Use the Newton-Raphson iterative method to determine the positive root of the quadratic voltage equation given below. Express your answer to three significant figures. Check the value of the root by using the quadratic formula. v=3t2 +5t 17 [V]