1. You are to drive a car to an interview in another town, at a distance of 300 km on an expressway. The interview is at 11:15 A.M. You plan to drive at 100 km/h, so you leave at 8:00 A.M. to allow some extra time. You drive at that speed for the first 100 km, but then construction work forces you to slow to 40 km/h for 40 km. [a) What would be the least speed needed for the rest of the trip to arrive in time for the Interview? (b) What is the average velocity of your car during the full 300 km trip? 2. The position of a particle moving along the x axis is given in centimeters by r = 9.75 + 1.50/$ where r is in seconds. Calculate (a) the average velocity during the time interval r = 2.00s to f = 3.00 s; (b) the instantaneous velocity at f = 2.00 s; (c) the instantaneous velocity at / = 3.00 s; and (d) the instantaneous velocity when the particle is midway between its positions at f = 2.00 s and / =3.00 %. 3. A car moves along an x axis through a distance of 900 m, starting at rest (at x = 0) and ending at rest (at x = 900 m). Through the first ? of that distance, its acceleration is +2.25 m/s . Through the rest of that distance, its acceleration is -0.750 m/s'. What are [a) its travel time through the 900 m and (b) its maximum speed?4. A positron has a vector displacement of A r= 21 - 3j-6k, and stop at the position vector F = 3i -4k, Where is the positron's initial position vector? 5. The position of an electron is expressed in vector r = 2ti -4taj+ 2k, with t in seconds and r in meters. a. In unit vectors, determine the electron velocity vector D (t) b. at time t = 2 seconds, berapakah sudut yang dibentuk oleh vektor kecepatan electron v (t) and axis - x? 6, An athlete throws a ball at a wall with an initial speed of 25 m/s and makes an angle = 40" above the horizontal surface. The distance between the thrown ball and the wall is d = 22 m. a. How high is the ball, when it hits the wall relative to the height allowed when it is thrown from the athlete's hand? b. what is the component of the vertical velocity and the component of the horizontal velocity when the ball hits the wall? c. When the ball hits the wall; whether after passing the maximum height