A solid ball with a mass of 1.89 kg and a radius of 0.069 m starts from rest at the top
of a 25.7
◦
slope with a vertical height of 2.90
m. It proceeds to roll without slipping down
the slope.
What is the translational speed of the ball
when it reaches the bottom? The acceleration
of gravity is 9.81 m/s
2
.
Answer in units of m/s.

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.

Is this multiple choice question