course PHY 121 9/9 An object is given an unknown initial velocity up a long ramp on which its acceleration is known to have magnitude 6 cm/s^2. .331 seconds later it passes a point 7.3 cm up the ramp from its initial position. • What are its possible initial velocities, and what is a possible scenario for each? • What is the maximum distance the object travels up the ramp? The velocity must be positive for the ball to be moving up the ramp. If it were to start out with a velocity in the opposite direction of motion, it would have to stop and change directions VERY abruptly to be able to reach 7.3 in such a short time. A = `dv/`dt, so 6cm/s^2 = `dv/.331s. 6cm/s^2*.331s = 2cm/s = `dv. It would be hard for the ball to start out with a v0 of 0m/s because some kind of “force” has to carry it up the ramp. The ball could already be rolling across a surface when it reaches the ramp, which it then climbs. I’m not exactly sure how far the ball could travel up the ramp.. if it traveled 7.3cm/.331s = 22.1 m/s vAve. Gravity and its effect on the weight of the ball would eventually slow it down until it started moving in the opposite direction on the ramp.