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A rocket is launched at an angle of 58.0 above the horizontal with an initial speed of 96 m/s. The rocket moves for 3.00 5 along its initial line of motion with an acceleration of 31.0 m/sz. At this time, its engines fail and the rocket proceeds to move as a projectile. (a) Find the maximum altitude reached by the rocket. 1637 A Your response IS within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m (b) Find its total time of flight. 37.63 g s (c) Find its horizontal range. 3972 A Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m Objects with masses m1 = 11.0 kg and m2 = 8.0 kg are connected by a light string that passes over a frictionless pulley as in the gure below. If, when the system starts from rest, m2 falls 1.00 m in 1.80 5, determine the coefficient of kinetic friction between m1 and the table. E403 The free-body diagrams of the two objects in this system are shown below. Note that the accelerations of the two objects have the same magnitude, a, with the acceleration of the object of mass In1 directed horizontally to the right and the acceleration of the object of mass m2 directed vertically downward. TT 3.5: 9" 1W2 = ng CD CD Since m2 is observed to drop downward 1.00 m in 1.80 s when released, the magnitude of the acceleration is found by solving the following equation for ay. _ 1 2 Ay voyt + 3ayt From the diagram, we know ay = a. Substituting the given value and paying close attention to the signs, we have (- w m) = o + ()