How to judge whether an object's trajectory is a straight line or a parabola?

The motion state is related to the force on the object. You can analyze the force on the object. Decompose all the forces in the rectangular coordinate system. 1. If the received forces are in the vertical direction, then the motion trajectory of the object must be a vertical straight line. 2. If the force is powerful in the horizontal direction, then you have to consider if the horizontal direction

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1. As shown in the figure, there is an object with a mass of M = 2kg at o on a smooth horizontal plane. The object is subjected to two horizontal forces, F1 = 4N, F2 = (2 + 2x) n, and X is the displacement of the object relative to O. the object starts to move from rest. Question: (1) when the displacement is x = 0.5m, what is the acceleration of the object? (2) Where is the maximum acceleration of the object? What is the maximum value? (3) Where is the object's maximum velocity? What is the maximum value?
2. A question about sports physics When an object moves in a straight line with constant speed change, it is impossible that () A. The speed change in the first second is less than that in the second second B. The displacement in the first second is less than that in the second C. The average speed in the first second is equal to the average speed in the second second D. The displacement difference in the first and second seconds is equal to the displacement difference in the third and fourth seconds Please explain the reason, thank you
3. There is an aircraft flying at an altitude of 490m at a constant speed of 80m / s. when an object is dropped from the aircraft, how many meters is the distance between the object and the aircraft? The answer is 100 But I think the plane and the object are moving the same horizontal distance?
4. A physical problem with the nature of motion Does the velocity of horizontal uniform linear motion and vertical uniform linear motion keep the same Doesn't it mean that the velocity perpendicular to the direction of acceleration doesn't change
5. Physics problems about motion After braking, a stops 36 meters ahead within 3 seconds, B stops after 1.5 seconds, B advances () A.9m B.36m C.18m D.72m
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13. (consult physics expert) when the force of an object meets what conditions, the trajectory is a parabola (part of)?
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18. If a (1,2) is outside the parabola y ^ 2 = 2x, P moves on the parabola Find the maximum value of | PA | - | Pb |
19. As shown in the figure is the law of the displacement of a particle moving with time, the image is a parabola, and the equation is x = - 5T2 + 40t A. The maximum displacement of the particle is 80 & nbsp; MB. The initial velocity of the particle is 20 & nbsp; m / sc. when the acceleration of the particle is 5m / S2D. T = 4S, the velocity of the particle is zero
20. Why is the X-ray image of physics uniform acceleration in grade one of senior high school a parabola?