Two balls are thrown simultaneously from ground with same velocity of $$10$$ $$ms-1$$ but different angles of projection with horizontal. Both balls fall at same distance $$53$$ m from point of projection. What is the time interval between balls striking the ground?

Question

Two balls are thrown simultaneously from ground with same velocity of $$10$$ $$ms-1$$ but different angles of projection with horizontal. Both balls fall at same distance $$53$$ m from point of projection. What is the time interval between balls striking the ground?

Infinity Learn · Accepted Answer

Given, $$53=(10)2sin2$$θg or $$sin2$$θ$$=32$$∴ $$2$$θ  $$=$$ $$600$$ or θ  $$=$$ $$300Two$$ different angles of projection are therefore θ and $$90$$° $$-$$ $$0$$ or $$30$$° and $$60$$°.∴  $$T1=2usin30$$°$$g=1$$ s∴  $$T2=2usin60$$°$$g=3$$ s Hence, Δ$$t=T2-T1=(3-1)s$$

Two balls are thrown simultaneously from ground with same velocity of 10 ms^-1 but different angles of projection with horizontal. Both balls fall at same distance 5 $\sqrt{3}$ m from point of projection. What is the time interval between balls striking the ground?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Two balls are thrown simultaneously from ground with same velocity of 10 ms-1 but different angles of projection with horizontal. Both balls fall at same distance 53 m from point of projection. What is the time interval between balls striking the ground?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Two balls are thrown simultaneously from ground with same velocity of 10 ms^-1 but different angles of projection with horizontal. Both balls fall at same distance 5 $\sqrt{3}$ m from point of projection. What is the time interval between balls striking the ground?