QQuestionPhysics
QuestionPhysics
Object A is released from rest at height h. At the same instant, object B is thrown downward from the same location. Which of the following graphs of speed v as a function of time t is correct for the two objects?
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand the Initial Conditions
- Object A is released from rest (initial velocity = 0) - Object B is thrown downward from the same location - Both objects are experiencing gravitational acceleration
Step 3:: Analyze Gravitational Motion
- The speed-time relationship is given by: $$v(t) = g \cdot t
- For objects falling under gravity, the speed increases linearly with time
Step 4:: Compare Initial Conditions for Objects A and B
v_{B}(t) = v_{0} + g \cdot t
- Object A (released from rest): - Object B (thrown downward):
Step 5:: Graphical Representation
- Both objects will have a straight line graph - Object A's line will start at origin (0,0) - Object B's line will have a non-zero y-intercept (initial velocity)
Final Answer
The graph with a straight line through the origin represents Object A, and the graph with a straight line with a positive y-intercept represents Object B.
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