A projectile is launched with a velocity of $30 \, m/s$ at $40^\circ$ to the ground. To two decimal places, what is its horizontal velocity in $m/s$?
A ball is thrown downward from the top of a $20\, m$ tall building with an initial velocity of $15 \,m/s$. What equation could be used to model its height, $h(t)$?
What is the solution for theses two questions? What steps do you use to solve them? Help is greatly appreciated.
Typically with physics questions with projectiles the angle is given with respect to the horizontal, so you have $$ v_x = v \cos(\theta) $$ $$ v_y = v \sin(\theta) $$ In this case, you have $$ v_x = 30 \cos(40^\circ) $$
With constant acceleration and an initial velocity, $$ \Delta y = v_i t + \frac{1}{2}g t ^2 $$