If the initial speed of a projectile is doubled. What will happen to its range?
Correct answer: B. Its range will quadruple
- A. Its range will double
- B. Its range will quadruple
- C. Its range will be decreased by a factor of two
- D. Its range will decrease by a factor of four
Explanation
The range of a projectile is given by the formula R = (v02 * sin(2θ)) / g, where v0 is the initial speed, θ is the launch angle, and g is the acceleration due to gravity. When the initial speed is doubled, the term v02 becomes four times larger because it is squared. Thus, the range quadruples when the initial speed is doubled, assuming the launch angle and gravity remain constant. Therefore, Option B is correct. Options A, C, and D are incorrect because they either underestimate or incorrectly describe the relationship between the initial speed and the range.
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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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