A box of mass 100.0kg slides up a ramp at 20m/s with a friction coefcient between the box and
ground of 0.40. A motion sensor is tracking the box as it slides. What will the plot of speed vs time
look like? Please include intercepts (x and y) with numbers labeled.
To understand the plot of speed vs. time for the box sliding up the ramp, we can break the problem down into different phases of motion and then analyze how each phase contributes to the overall plot.
Initial Phase (Acceleration Due to Gravity): When the box starts sliding up the ramp, it will first experience an acceleration due to gravity. The magnitude of this acceleration is given by:
This acceleration will act in the opposite direction of motion (down the ramp). Initially, the box has an initial velocity of 20 m/s up the ramp. So, during this phase, the acceleration will gradually reduce this initial velocity until it reaches zero.
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