Problem 1 An explosion is heard by two stations 1200 m apart, located at F1(-600, 0) and F2(600, 0). If the explosion was heard in F1 two seconds before it was heard in F2, identify the possible locations of the explosion. Use 340 m/s as the speed of sound. F₁ 400 explosion 300 200 100 لم F2 -700-600 -500-400-300 -200 -100 0 100 200 300 400 500 600 700 -100- -200 -300 -400 Problem 2 Two stations, located at M(-1.5, 0) and N(1.5, 0) (units are in km), simultaneously send sound signals to a ship, with the signal traveling at the speed of 0.33 km/s. If the signal from N was received by the ship four seconds before the signal it received from M, find the equation of the curve containing the possible location of the ship. 4ty 3- 2 1 M: (-1.5.0) N: (1.5.0) -6-5 -4 -3 -2 -1 1 2 3 4 -1 -21 -31 ო -4 10 6/6 Problem 3 Two control towers are located at points Q(-500, 0) and R(500, 0), on a straight shore where the x-axis runs through (all distances are in meters). At the same moment, both towers sent a radio signal to a ship out at sea, each traveling at 300 m/us. The ship received the signal from Q 3 μs (microseconds) before the message from R. (a) Find the equation of the curve containing the possible location of the ship (b) Find the coordinates (rounded off to two decimal places) of the ship if it is 200 m from the shore (y = 200). Q: (-500, 0) ((1+1)) 400 200 -800-600400-200 -200 -400 y y-200 R: (500, 0) X 200 (((x)) 400 600 + 800