Question

Please show all steps clearly!

_TOWARD HOME.PLATE IE RELEASES T KE BALL ATA Po'N r 18.0.M. IT- G E ,TS--Te-74e-PLATE-ǐ

Answer 1

Initial velocity $\vec{v}_i=v_x\hat{x}+v_y\hat{y}$

There is no vertical component initially. That is $v_y=0$ and $v_x=150\,kph=150*\frac{5}{18}=\frac{125}{3}\,m/s$

Acceleration has no horizontal component $\vec{a}=a_x\hat{x}+a_y\hat{y}=[0\hat{x}+(-9.81)\hat{y}]\,m/s$

Displacement of ball $\Delta\vec{r}=x\hat{x}+y\hat{y}=[18.0\hat{x}+y\hat{y}]\,m$

Using only horizontal components, $x=v_xt$

$18=\frac{125}{3}t$

Time taken $t=\frac{54}{125}\,s$

Using vertical components, $y=v_yt+\frac{1}{2}a_yt^2$

$y=0+\frac{1}{2}(-9.81)\left(\frac{54}{125} \right )^2=-0.9154\,m$

That is, the ball drops by $0.9154\,m$ by the time it reaches the plate.