Question

A ball is thrown with a velocity of 40 m/s at an angle of 30° above the horizontal and attains a certain range R. At what other angle will this ball attain the same range keeping its initial velocity the same?

Answer 1

To achieve the same range R with the same initial velocity, if a ball is thrown at 30°, the other angle that will give the same range is 60°; this is based on the principles of projectile motion.

Step-by-step explanation:

The question relates to the concept of projectile motion in Physics. When a ball is thrown with an initial velocity at an angle above the horizontal, it makes a parabolic path. For a given initial velocity, there are two angles of projection that will give the same range, provided air resistance is neglected. These two angles add up to 90°. In this case, since the ball is initially thrown at an angle of 30° and achieved a range R, the other angle to achieve the same range R, with the same initial velocity, would be 60° (since 30° + 60° = 90°).