The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is A. 98 m B. 490 m C. 980 m D. 1960 m

98 m
490 m
980 m
1960 m

The correct answer is $\boxed{\text{B}}$.

The horizontal range of a projectile is given by the following formula:

$$R = \frac{v^2 \sin^2 \theta}{g}$$

where $v$ is the initial velocity, $\theta$ is the angle of projection, and $g$ is the acceleration due to gravity.

In this case, $v = 98 \text{ m/s}$ and $\theta = 45^\circ$. Plugging these values into the formula,

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we get:

$$R = \frac{(98 \text{ m/s})^2 \sin^2 (45^\circ)}{9.8 \text{ m/s}^2} = 490 \text{ m}$$

Option A is incorrect because it is the initial velocity of the projectile. Option C is incorrect because it is the square of the initial velocity of the projectile. Option D is incorrect because it is the product of the initial velocity of the projectile and the sine of the angle of projection.

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