Quick questions on Projectiles: horizontal and vertical components, range and time of flight - Edexcel A-Level Maths

Almost every projectile question is solved by the same plan. First, resolve the launch velocity into a horizontal part $u\cos\theta$ and a vertical part $u\sin\theta$. Second, write down the horizontal motion, which is simply constant velocity, so $x = u\cos\theta \cdot t$. Third, write down the vertical motion as a suvat problem with acceleration $-g$.

A particle is projected horizontally at $15$ m per second from a height of $20$ m. Taking $g = 9.8$, find the time to land. [3 marks]

For a launch at $25$ m per second at $40$ degrees, find the horizontal component of velocity. [2 marks]