1. If an object has an initial position 40.0 m West of you and moves East with a constant speed of 20.0 m/s= how long does it take to reach a position 10.0 m West of you? the end of this document there are formulae under the heading 'Motion with Constant Acceleration'. You may use them in Qroblems 2 through 4. Velocity at time t is vE initial velocity is Vg I position at time t is x! initial gosition is X0 and acceleration is a. These formulae are for motion in one dimension. 2. An object has an initial position 40.0 meters West of you, an initial velocity of 20.0 meters per second East and a constant acceleration East of 5.00 meters per second squared. a) What is its velocity at time 1.00 second? b) At what time is its velocity 30.0 meters per second East? 3. a) What is the position of the object in problem 2 at time 1.00 second? b) At what time does the object in problem 2 have a position of 10.0eters East? 4. An object has an initial position 40.0 meters West of you, an initial velocity of 20.0 meters per second West and a constant acceleration East of 5.00 meters per seconds squared. Does it return at a time after the initial time to the initial position? If not, why not? If so, what is its speed at that time and when is that time? 5. If the acceleration of a planet from t=0 to t=1 day can be approximated to be the constant F = (ZDXIO33 g)X(6.O)(1027 g)X(O.7i 0.7j)/((1.5X1013 cm)2(6.0X1024 kg)) [where G is Newton's universal gravitational constant which you can find in your textbook] and its velocity at time t=0 is (21.07 km/s i +2107 km/s j) and its position at time t=0 is (1.0578X1011 m 1+ 1.0578 m j) then at time t = exactly one clay, a) what is its acceleration in SI units? b) what is its velocity in SI units? c) what is its position in SI units