72 m is the horizontal distance the ball travels in 2 seconds.
Answer: Option C
Explanation:
Velocity is defined as the distance travelled per unit time and expressed in m/s. The mathematical expression can be given as follows,
[tex]\text {velocity}=\frac{d i s t a n c e}{t i m e}[/tex]
Now, the given datas are,
Angle made with the horizontal= 12 degrees
Velocity with which the ball was hit= 37 m/s
Time travelled= 2 s
The range ‘x’ of the horizontal component’s velocity can be calculated by,
[tex]\text { Horizontal distance travelled }=\text { Horizontal velocity } \times \text { Time }[/tex]
[tex]x=v_{x 0} \times t[/tex]
So, horizontal component of velocity,
[tex]v_{x 0}=v \cos \theta=37 \times \cos 12=37 \times 0.978=36.186 \mathrm{m} / \mathrm{s}[/tex]
Now, horizontal distance travelled can be measured as,
[tex]x = 36.186 \times 2 = 72.372 m[/tex]
The value gets rounded off and the horizontal travelled distance as 72 m.
