A2.8 kg block moving along the x axis is acted upon by a single horizontal force that varies with the block’s position according to the equation fx = a x2 + b , where a = 8 n/m2 , and b = −3.9 n. at 1.7 m, the block is moving to the right with a speed of 3.8 m/s. determine the speed of the block at 2.5 m. answer in units of m/s.

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Since you have not included the experiment situation and the data, of course, i can not give you specific details about it. but i can you with this question.1) i will assume that the motion is projectile (parabolic) motion.2) yes, the horizontal distance depends on the horizontal velocity as, naming vx the horizontal velocity and t the time, it is: x = vx × t3) now, observe that the flight time depends on the vertical velocity as, naming voy the initial vertical velocity, t the time and y the vertical distance before reaching the ground: y = yo + voy×t - gt² / 2.the higher the initial vertical velocity (voy) the longer the object will be flying and so t will be higher in the equation for the horizontal distance.that explains the relationship between the horizontal distance and the horizontal velocity.