Graph of a Car\'s Displacement 01 Due in 2 hours, 24 minutes The graph below represents the position of a car as a function of time. The vertical axis is the position of the car, and the horizontal axis is time. The positive vertical axis represents positions East of the origin B G Evaluate each of the following statements False The velocity at point C is towards the West. FalseThe velocity at point I is zero TrueThe velocity at point F is towards the East. TrueThe speed at point F is greater than the speed at point E. FalseThe velocity at point C is zero Submit Answer You have entered that answer before Incorrect. Tries 7/10 Previous Tries
Solution
Ans
The velocity of car at a point is slope of the position time graph at that point.
So i) If slope is negative than velocity is negative and the car is moving in the west direction, ie velocity is towards the west.
ii) If slope is positive than velocity is positive and the car is moving in the east direction, ie velocity is towards the east.
iii) If slope is zero than velocity is zero.
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1) At point C, the slope of the position vs time graph is negative.(as tangent to the graph at C slopes downwards to the right), hence the velocity at point C is towards the west and
it\'s true.
2) At point I, the tangent to the graph is horizontal, hence the slope is zero. So the velocity at I = 0.
This is true.
3) At point F, the slope is negative, hence the velocity of the car is toward the west at F.
So, it\'s false.
4) Speed of the car = the magnitude of the velocity.
The graph slopes more upward at E than it slopes downward at F. So the magnitude of slope at E is greater than the magnitude of slope at F. hence the speed at E is greater than F.
Hence this is false.
5) This is false . The slope at C is not zero. Hence velocity at C is non-zero.
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Food Chain and Food Web (Ecosystem) EVS, B. Pharmacy 1st Year, Sem-II
Graph of a Car-'s Displacement 01 Due in 2 hours- 24 minutes The graph.docx
1. Graph of a Car's Displacement 01 Due in 2 hours, 24 minutes The graph below represents the
position of a car as a function of time. The vertical axis is the position of the car, and the
horizontal axis is time. The positive vertical axis represents positions East of the origin B G
Evaluate each of the following statements False The velocity at point C is towards the West.
FalseThe velocity at point I is zero TrueThe velocity at point F is towards the East. TrueThe
speed at point F is greater than the speed at point E. FalseThe velocity at point C is zero Submit
Answer You have entered that answer before Incorrect. Tries 7/10 Previous Tries
Solution
Ans
The velocity of car at a point is slope of the position time graph at that point.
So i) If slope is negative than velocity is negative and the car is moving in the west
direction, ie velocity is towards the west.
ii) If slope is positive than velocity is positive and the car is moving in the east direction, ie
velocity is towards the east.
iii) If slope is zero than velocity is zero.
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1) At point C, the slope of the position vs time graph is negative.(as tangent to the graph at
C slopes downwards to the right), hence the velocity at point C is towards the west and
it's true.
2) At point I, the tangent to the graph is horizontal, hence the slope is zero. So the velocity
at I = 0.
This is true.
3) At point F, the slope is negative, hence the velocity of the car is toward the west at F.
2. So, it's false.
4) Speed of the car = the magnitude of the velocity.
The graph slopes more upward at E than it slopes downward at F. So the magnitude of
slope at E is greater than the magnitude of slope at F. hence the speed at E is greater than
F.
Hence this is false.
5) This is false . The slope at C is not zero. Hence velocity at C is non-zero.
