Question # A ball is thrown from the top of ( 36 mathrm{m} ) high tower with velocity ( 5 mathrm{m} / mathrm{s} ) at an angle ( 37^{circ} ) above the horizontal as shown. Its horizontal range on the ground is closest to ( left[g=10 mathrm{m} / mathrm{s}^{2}right] )

# A ball is thrown from the top of ( 36 mathrm{m} ) high tower with velocity ( 5 mathrm{m} / mathrm{s} ) at an angle ( 37^{circ} ) above the horizontal as shown. Its horizontal range on the ground is closest to ( left[g=10 mathrm{m} / mathrm{s}^{2}right] )

( (A) 12 m )

(B) ( 18 mathrm{m} )

( (C) 24 mathrm{m} )

(D) ( 30 mathrm{m} )

Solution

Time taken to fall down idenends on reticle speed

( S=u t+frac{1}{2} a t^{2} )

[

begin{array}{l}

-36=-frac{1}{2} times 10 x t^{2} Rightarrow 5 t^{2}-3 t-36=0

T t=3 mathrm{sec}

end{array}

]

Range ( = ) velocity ( x ) time

( 3 times 4={12 m} )