1.

A projectile is thrown in the upward direction making an angle of `60^@` with the horizontal direction with a velocity of `150 ms^-1`. Then the time after which its inclination with the horizontal is `45^@` isA. `15 (sqrt(3) - 1) s`B. `15 (sqrt(3) + 1) s`C. `7.5 (sqrt(3) - 1) s`D. `7.5 (sqrt(3) + 1) s`

Answer» Correct Answer - C
( c) At the two points of the trajectory during projectile motion, the horizontal component of the velocity is same. Then
`150 xx (1)/(2) = v xx (1)/(sqrt(2))` or `v = (150)/(sqrt(2)) ms^-1`
Initially : `u_y = u sin 60^@ = (150 sqrt(3))/(2) ms^-1`
Finally : `v_y = v sin 45^@ = (150)/(sqrt(2)) xx (1)/(sqrt(2)) = (150)/(2) ms^-1`
But `v_y = u_y + a_y t` or `(150)/(2) = (150 sqrt(3))/(2) - 10 t`
`10 t = (150)/(2) (sqrt(3) - 1)` or `t = 7.5 (sqrt(3)- 1)`.


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