From Fig. 6.40, the product of mass and acceleration at each plotted point equals a constant force of 10 N. The force-mass graph is a horizontal straight line parallel to the mass axis at 10 N.
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Yes, the boat moves backward away from the shore. By Newton’s third law of motion, when the sailor applies a backward force on the boat to leap forward, the boat recoils in the opposite direction.
Both triangles PCD and QCD share the common base CD and lie between parallel lines AB and CD, giving identical perpendicular heights. Hence their areas are equal, and the ratio area(ΔPCD) : area(ΔQCD) is 1:1.
Ratio parts sum to 3 + 5 + 7 = 15, giving sides 60 m, 100 m, and 140 m with semi-perimeter s = 150 m. Area = √(150 x 90 x 50 x 10) = 1500√3 m² (approx 2598.08 ...
In rectangle ABCD, base AD = 8 cm and perpendicular height from vertex E to AD is 10 cm. The area of triangle ADE is (1/2) x base x height = (1/2) x 8 x 10 = 40 cm².