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Seeking t in college physics
1, using the elimination method

T=x/2 trajectory equation is y=x? +5

2. Motion synthesis

The speed in the X direction is x'=2, and the speed in the Y direction is y'=8t+5.

Bring t in, calculate the velocities in the x and y directions respectively, and then synthesize.

The acceleration in the x direction is x'' = 0, and the acceleration in the y direction is y''=8.

So the acceleration is 8.