A projectile is fired at $35$ above the horizontal. Any effects due to air resistance are negligible. The initial horizontal velocity is $20\frac{m}{s}.$ The initial velocity of the projectile has a vertical component that is $($a$)$ less than $20\frac{m}{s},($b$)$ greater than $20\frac{m}{s},($c$)$ equal to $20\frac{m}{s},($d$)$ cannot be determined from the data given.

Ans: $($a$)$ is correct. Because the initial horizontal velocity is $20\frac{m}{s},$ and the launch angle is less than $45$ degrees, the initial vertical velocity must be less than $20\frac{m}{s}.$