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The graph shows the x-velocity as a function of time of a cart on a ramped tilted at a small angle. You give the cart a push for 0.5 sec, after you release it, the cart goes up the ramp (+x) slowing as it goes until it comes to a momentary stop and then goes back down the ramp with increasing speed. You then catch it and bring it to a stop. a. How far has the cart moved when you stop pushing? Distance covered a Area under the curve = 15x(0.5)(0.6) = 0.15m

The graph shows the x-velocity as a function of time of a cart on a ramped tilted at a small angle. You give the cart a push for 0.5 sec, after you release it, the cart goes up the ramp (+x) slowing as it goes until it comes to a momentary stop and then goes back down the ramp with increasing speed. You then catch it and bring it to a stop. a. How far has the cart moved when you stop pushing? Distance covered a Area under the curve = 15x(0.5)(0.6) = 0.15m

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2. The graph shows the x-velocity as a function of time of a cart on a ramped tilted at a small angle. You give the cart a push for 0.5 sec, after you release it, the cart goes up the ramp (+x) slowing as it goes until it comes to a momentary stop and then goes back down the ramp with increasing speed. You then catch it and bring it to a stop. a. How far has the cart moved when you stop pushing? Distance covered=a₁ Area under the curve a₁= x(0.5) (0.6) = 0.15m b. What is the furthest distance the cart travels from its starting point? C. Maximum distance covered by the cart = area under the curve from t=0 to t=3s = a1+32 = (1/2 x 0.5x0.6) + (1/2 x(3-0.5)x0.6) = 0.15+0.75 = 0.9m What is the x-acceleration of the cart while it is being brought to a stop? Vx (m/s) x (m) € (s/ou) e 1 0.5 -0.5 b 0 1 1 2 3 4 time (sec) 2 3 4 time (sec) 5 5 6
Transcribed Image Text:2. The graph shows the x-velocity as a function of time of a cart on a ramped tilted at a small angle. You give the cart a push for 0.5 sec, after you release it, the cart goes up the ramp (+x) slowing as it goes until it comes to a momentary stop and then goes back down the ramp with increasing speed. You then catch it and bring it to a stop. a. How far has the cart moved when you stop pushing? Distance covered=a₁ Area under the curve a₁= x(0.5) (0.6) = 0.15m b. What is the furthest distance the cart travels from its starting point? C. Maximum distance covered by the cart = area under the curve from t=0 to t=3s = a1+32 = (1/2 x 0.5x0.6) + (1/2 x(3-0.5)x0.6) = 0.15+0.75 = 0.9m What is the x-acceleration of the cart while it is being brought to a stop? Vx (m/s) x (m) € (s/ou) e 1 0.5 -0.5 b 0 1 1 2 3 4 time (sec) 2 3 4 time (sec) 5 5 6
X acceleration = tane = (0.6)/ (6-5.5) =1.2m/sec² d. What is the x-acceleration while the cart it is going up and down the ramp without you touching it? e. Make rough graphs of the x and avs. time for the motion. You don't have to get everything precisely but make sure portions that are curved are curved, portions that are straight are straight, and portions that are flat are flat. Include numbers on the vertical axes to set the scale.
Transcribed Image Text:X acceleration = tane = (0.6)/ (6-5.5) =1.2m/sec² d. What is the x-acceleration while the cart it is going up and down the ramp without you touching it? e. Make rough graphs of the x and avs. time for the motion. You don't have to get everything precisely but make sure portions that are curved are curved, portions that are straight are straight, and portions that are flat are flat. Include numbers on the vertical axes to set the scale.
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