2d kinematics Begin Date: 9/1/2022 8:00:00 AM -- Due Date: 9/9/2022 11:59:00 PM End Date: 9/10/2022 11:59:00 PM Problem 1: A car is moving on a straight road in a xed direction at a constant speed of v = 61 kmfh with respect to the road. You wish to state the kinematic vectors of the motion of the car by using a Cartesian coordinate system whose positive x-axis is pointed in the direction of the motion of the car and the origin is xed at some point on the road. Part (a) What is the expression for the velocity of the car, using the speed v and the unit vectors i, j, and k? Expression : v = Select from the variables below to write your expression. Note that all variables may not be required. ) 7; 03 i! by d) g! h! j) k) m) \"9 Pi S! v Part (b) What is the x-component of the position vector, in units of kilometers, at time 1': 0.055 hr? Numeric : A numeric value is expected and not an expression. x = Problem 2: At t: 0, a truck is traveling east at a constant speed of s : 73.9 km/h. At an intersection d : 3 7. 6 km ahead, a car is traveling north at constant speed of v : 55.3 kmfh Part (a) Write an expression for the distance, r, between the truck and the car as a function of time. Use the variables from the problem statement for your equation. Expression r(t) 2 Select from the variables below to write your expression. Note that all variables may not be required. 6) Y: G: d) g: h! j: k: m: n) P: s! t) V, Z Part (b) Write an expression for the time at which the distance between the car and the truck has its minimum value. Use the variables from the problem statement for your equation. Expression [min = Select from the variables below to Write your expression. Note that all variables may not be required. 6) Yr 0) d) g! h! j) k) m) \"3 Pr 5, t) v! 2 Part (c) What is the time, in hours, at which the distance between the car and the truck has its minimum value? Numeric : A numeric value is expected and not an expression. t : Part (cl) What is the minimum distance, in kilometers, between the car and the truck? Numeric : A numeric value is expected and not an expression. rmin