If the displacement-time graph is a curve, which of the following is correct:
Correct answer: D. Gradient of the tangent of graph represents velocity
- A. Area under graph represent displacement
- B. Gradient of the graph is constant
- C. Gradient of the tangent of graph represents acceleration
- D. Gradient of the tangent of graph represents velocity
Explanation
The gradient of the tangent to the curve on a displacement-time graph gives you the instantaneous velocity at that point. This is because velocity is the rate of change of displacement with respect to time.
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About Force and Motion
Displacement, velocity and acceleration describe motion, including the horizontal and vertical components of projectile motion. The chapter connects these quantities with Newton's laws, momentum and impulse, then applies conservation of momentum to collisions, distinguishing elastic collisions from inelastic ones.
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