An object is projected with a velocity of 50ms-1 from ground level at an angle θ to the vertical. If the total time of flight of the projectile is 5s, what is the value of θ? (g = 10ms-2)

A.

B.

30°

C.

45°

D.

60°

E.

90°

Correct answer is D

Time of flight =\( \frac{2Usin\theta}{g}\)

T = 5, g = 10m/s2

\(5 = \frac {2\times 50sin\theta}{10}\)

\(sin\theta =\frac {50}{100}\)

\(\theta = 30\)

vertical angle = 90 - 30 = 60°