A projectile is projected with kinetic energy (K.E). If it has the maximum possible horizontal range, then its kinetic energy at the highest point will be:
Correct answer: C. 0.5 K.E
- A. K.E
- B. 0.75 K.E
- C. 0.5 K.E
- D. 0.25 K.E
Explanation
The correct answer is option C: 0.5 K.E. When a projectile is launched to achieve maximum horizontal range, it is fired at a 45° angle. At this angle, the initial velocity is equally divided into horizontal and vertical components. At the highest point in its trajectory, the vertical component of velocity becomes zero, leaving only the horizontal component. Since the horizontal component is half of the initial velocity, the kinetic energy at this point is 0.5 K.E. Other options are incorrect because they do not account for the velocity components and their contribution to kinetic energy at the highest point.
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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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