CALCULUS PHYSICS PROBLEMS SETS A SILICON CHIP HAS AN AREA OF 1.25 SQUARE INCHES. EXPRESS THIS IN SQUARE CENTIMETERS A JET ENGINE MOVES ALONG AN EXPERIMENTAL TRACK (WHICH WE WILL CALL THE X-AXIS). TREAT THE ENGINE AS IF IT WERE A PARTICLE, ITS POSITION AS A FUNCTION OF TIME IS GIVEN BY THE EQUATION X - AT'+ B, WHERE A = 2.10 M/S' AND B = 2.80 M. (A) DETERMINE THE DISPLACEMENT OF THE ENGINE DURING THE TIME INTERVAL FROM T1 = 3.00 S TO T2 = 5.00 S (B) DETERMINE THE AVERAGE VELOCITY DURING THIS TIME INTERVAL (C) DETERMINE THE MAGNITUDE OF THE INSTANTANEOUS VELOCITY ATT = 5.00 S AN EXPERIMENTAL VEHICLE STARTS FROM REST (Vo = 0) AT T = 0 AND ACCELERATES AT A RATE GIVEN BY A = (7.00 M/S')T. (A) FIND THE VELOCITY 2.00 S LATER . (B) FIND THE DISPLACEMENT 2.00 S LATER A FOOTBALL IS KICKED AT AN ANGLE OF 37.0 DEGREES TO THE HORIZONTAL, WITH A VELOCITY OF 20.0 M/S. CALCULATE THE FOLLOWING: (A) THE MAXIMUM HEIGHT REACHED B) THE TIME OF TRAVEL C) THE DISTANCE TRAVELED D) THE VELOCITY AND ACCELERATION VECTORS AT THE MAXIMUM HEIGHT A BOAT'S SPEED IN STILL WATER IS 1.85 M/S. IF THE BOAT IS TO TRAVEL NORTHWARD DIRECTLY ACROSS A RIVER WHOSE CURRENT HAS VELOCITY 1.20 M/S TOWARD THE WEST, AT WHAT ANGLE MUST THE BOAT HEAD? A 6 KG BOX IS DROPPED FROM A HEIGHT OF 3 M. HOW FAST IS IT GOING WHEN IT HITS THE FLOOR? A REFRIGERATOR WITH A WEIGHT OF 500 N SITS ON THE FLOOR. THE COEFFICIENT OF KINETIC FRICTION BETWEEN THE REFRIGERATOR AND THE FLOOR IS 0.30 AND THE COEFFICIENT OF STATIC FRICTION IS 0.40. A FORCE OF 170 N IS APPLIED HORIZONTALLY TO THE REFRIGERATOR. WILL THE REFRIGERATOR MOVE?SILICON CHIP 8.06 cm JET ENGINE A-33.6 M B-16.8 M/S C-21.0 M/S EXPERIMENTAL VEHICLE A-14.0 M/S B-9.33 M FOOTBALL A-7.35 M B-2.44 SEC C-38.9 M D-ACCELERATION = 9.8 M/S?, VELOCITY = 15.9 M/S BOAT 40.4 DEGREES EAST OF NORTH BOX 7.66 M/S REFRIGERATOR IT WILL NOT MOVE