Please answer number 43a, 44, 45, 46, 48,49, 49c, 50, 55, and 56a. Thank you!

43a. The position of an object is given by the equation x = 4.0t4 - 2.0 t3 - 4.5 where x is in meters and t is in seconds. What is the instantaneous acceleration, velocity and position of the object at t = 3.0 s? At what time t is the velocity zero. At what time t is the position zero. At what time tis the acceleration zero. 44. A highway curves to the left with radius of curvature of 30 m and is banked at 20 degrees so that cars can take this curve at higher speeds. Consider a car of mass 1658 kg whose tires have a static friction coefficient 0.00 against the pavement. How fast can the car take this curve without skidding to the outside of the curve? 45. TWO blocIs are arranged at the ends of a rnassless string as shown in the figure. The system starts from rest. When the 2.28 kg mass has fallen through 0.357 In, its downward speed is 1.31 m/s. Find the friction u. 46. The suspended 2.5 kg mass on the right is moving up, the 2.9 kg mass slides down the ramp, and the suspended 7.4 kg mass on the left is moving down. The coefficient of friction between the block and the ramp is 0.17. What is the magnitude of the acceleration of the three-block system? What is the tension in each section of the cord? 2.9 kg H = 0.17 360 7.4 kg 2.5 kg/L Tcose Er m9 48. The problem is depicted as a conical pendulum in the figure above. 9=53 is the angle string of length =1.5m makes with the vertical. Find the velocity of the mass and the period of one revolution. A block of mass m=7.0 kg accelerates with acceleration 2 m/s2 down a frictionless plane that is inclined at an angle 01:27 degrees above the horizontal. The force Fo that pushes the block is at an angle [3:20 above the horizontal. Find the force Fo c. Same problems as above except the coefcient of friction between the block and the ramp is 0.15. Find the force Fo. You need to solve it for it initially moving up the ramp or for it initially moving down the ramp. 49. A block of mass m=7.0 kg accelerates with acceleration 2 rn/s2 up a frictionless plane that is inclined at an angle =27 degrees above the horizontal. The force Fo that pushes the block is at an angle [3:20 above the horizontal. Find the force Fo. 56a. This is similar to 56. A projectile is red up an incline (with incline angle E20 deg) with an initial seed vi=30 mfs, at an angle (-1, = 50 deg, with respect to the horizontal. Find how long the projectile is in the air. From that determine the distance d on the incline. Hint come up with two equations for the vertical as a function of time and set them equal. (ans: t=3.3 sec and 41:6? in) 55. Find the tension in A and B. 23"A B t IDON 50.What magnitude force (F) must be applied to a 2 kg box to keep it from sliding up or down the wall if B = 30 and the coefficient of friction is 0.2