A cart with mass 19.8 kg is moving to the left with initial speed of 1.0 m/s. You catch and stop it by pushing down at an angle of 75.9 degrees with respect to the vertical as shown above. The magnitude of your force as a function of time is given by Fye(t) = bt³ where b = 0.17 N/s°. You can assume that the wheels on the cart are good enough so that you can neglect friction between the cart and ground. How long does it take you to stop the cart? (in s)

A cart with mass 19.8 kg is moving to the left with initial speed of 1.0 m/s. You catch and stop it by pushing down at an angle of 75.9 degrees with respect to the vertical as shown above. The magnitude of your force as a function of time is given by Fye(t) = bt³ where b = 0.17 N/s°. You can assume that the wheels on the cart are good enough so that you can neglect friction between the cart and ground. How long does it take you to stop the cart? (in s)