Answer:
All the options (a, b, c, and d) are correct situations for negative value of acceleration due to gravity.
Explanation:
Acceleration due to gravity is always acted towards the center of the earth. It's magnitude is [tex]9.8\rm{m/s^{2}}[/tex].
As per the sign convention, downward direction is considered as negative.
Now, consider the cases:
1. When an object or ball is thrown upward: While moving upwards, gravity or gravitational acceleration opposes the motion of object. The object speed or displacement will be positive while gravity will be negative.
2. When an object is at the top or highest point of their path: When the object is at the top of its path, the gravity still acts downwards and the velocity becomes zero. So, gravity will be negative at this position.
3. When object is falling downward: While falling downwards, the acceleration and velocity will be negative as they both are directed downwards.
From the above points, the value of gravity will always be negative.
Therefore, in all the given options (a, b, c, and d), the acceleration will be [tex]-9.8\rm{m/s^{2}}[/tex].
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