Kinematics

Step 1: Concept
Direction components in a Cartesian coordinate system (East = , West = , North = , South = ).
Step 2: Analysis
- Horizontal component is negative West ( ). - Vertical component is negative South ( ).
Step 3: Identification
The force vector lies in the third quadrant ( ).
Step 4: Conclusion
Hence, the force is acting between South and West.
Final Answer:(C)

Step 1: Concept
At maximum height, the instantaneous velocity is zero.
Step 2: Analysis
We need the speed 1 second before the speed becomes 0.
Step 3: Calculation
Using for the final second of the ascent: Final velocity (at max height) = 0. . m/s.
Step 4: Conclusion
The speed 1 second before maximum height is 10 m/s.
Final Answer:(A)

Step 1: Concept
Force ( ) = .
Step 2: Analysis
Mass ( ) = 2 kg. . .
Step 3: Calculation
At s, . N.
Step 4: Conclusion
Hence, the force acting is N.
Final Answer:(D)

Step 1: Concept
Velocity is the first derivative of position with respect to time .
Step 2: Analysis
Given .
.
Step 3: Conclusion
The equation is in the form , which represents a straight line with a positive slope ( ). Final Answer:(C)