Galileo, in his book Two new sciences, stated that for elevations that exceed or fall short of $$45^\circ$$ by equal amounts, the ranges:

 1 are equal to each other. 2 are not equal to each other. 3 are sometimes equal and sometimes not equal to each other. 4 depends on the difference between the angles.

Subtopic: Â Projectile Motion |
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A hiker stands on the edge of a cliff $$490~\mathrm{m}$$ above the ground and throws a stone horizontally with an initial speed of $$15$$ m/s. Neglecting air resistance, the time taken by the stone to reach the ground and the speed with which it hits the ground are, respectively: (Take $$g=9.8~\mathrm{m/s^2}$$)

 1 $$10$$ s and $$99$$ m/s 2 $$10$$ s and $$15$$ m/s 3 $$5$$ s and $$99$$ m/s 4 $$5$$ s and $$15$$ m/s

Subtopic: Â Projectile Motion |
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A cricket ball is thrown at a speed of $$28$$ m/s in a direction $$30^\circ$$ above the horizontal. The time taken by the ball to return to the same level is:
1. $$2.5$$ s
2. $$2.9$$ s
3. $$3.5$$ s
4. $$3$$ s

Subtopic: Â Projectile Motion |
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A cricket ball is thrown at a speed of $$28$$ m/s in a direction $$30^{\circ}$$ above the horizontal. The maximum height attained by the ball is:
1. $$5$$ m
2. $$10$$ m
3. $$15$$ m
4. $$20$$ m

Subtopic: Â Projectile Motion |
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