Mech.1. A block of mass m is projected up from the bottom of an inclined ramp with an initial velocity of magnitude vo. The ramp has negligible friction and makes an angle 0 with the horizontal. A motion sensor aimed down the ramp is mounted at the top of the incline so that the positive direction is down the ramp. The block starts a distance D from the motion sensor, as shown above. The block slides partway up the ramp, stops before reaching the sensor, and then slides back down. (e) Suppose the ramp now has friction. The same block is projected up with the same initial speed vo and comes back down the ramp. On the axes provided below, sketch a graph of the velocity v as a function of time t for the motion of the block while it goes up and back down the ramp, arriving at the bottom of the ramp at time t. Explicitly label any intercepts, asymptotes, maxima, or minima with numerical values or algebraic expressions, as appropriate.

Mech.1. A block of mass m is projected up from the bottom of an inclined ramp with an initial velocity of magnitude vo. The ramp has negligible friction and makes an angle 0 with the horizontal. A motion sensor aimed down the ramp is mounted at the top of the incline so that the positive direction is down the ramp. The block starts a distance D from the motion sensor, as shown above. The block slides partway up the ramp, stops before reaching the sensor, and then slides back down. (e) Suppose the ramp now has friction. The same block is projected up with the same initial speed vo and comes back down the ramp. On the axes provided below, sketch a graph of the velocity v as a function of time t for the motion of the block while it goes up and back down the ramp, arriving at the bottom of the ramp at time t. Explicitly label any intercepts, asymptotes, maxima, or minima with numerical values or algebraic expressions, as appropriate.