Question

PROBLEM:

A STUDENT IS RUNNING A 5.6 (M/S) TO CATCH A BUS. WHEN THE STUDENT IS 42.0 (M) FROM THE BUS, THE BUS IS ALREADY MOVING AT 1.2 (M/S) AWAY FROM STUDENT WITH A CONSTANT ACCELERATION OF 0.18 (M/S^2). USING A REFERENCE FRAME FIXED TO THE STUDENT AT THE INSTANT HE'S 42.0 (M) AWAY FROM THE BUS:

A.) WILL THE STUDENT BE ABLE TO CATCH THE BUS?

B.) IF THE STUDENT IS ABLE TO CATCH THE BUS, CALCULATE HOW FAR HE HAD TO RUN, RELATIVE TO THE EARTH, TO CATCH THE BUS

C.) IF THE STUDENT IS NOT ABLE TO CATCH THE BUS, CALCULATE THE DISTANCE OF CLOSEST APPROACH?

D.) IF THE STUDENT IS ABLE TO CATCH THE BUS, CALCULATE HOW FAST THE BUS IS MOVING RELATIVE TO STUDENT AT INSTANT HE CATCHES THE BUS?

(SOLVE USING THESE 4 STEPS:)

1.) DRAW A DIAGRAM TO DESCRIBE THE MOTION OF THE SYSTEM.

2.) INSERT COORDINATE SYSTEM AND LABEL GIVEN INFORMATION.

3.) APPLY THE APPROPRIATE KINEMATIC EQUATIONS.

4.) SOLVE FOR THE REQUIRED QUANTITY.

Answer 1