Answered

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31. A cannonball is fired at some angle into theair. In the first second it moves 80 meters inthe horizontal direction. Assuming it doesn'thit the ground and air resistance isnegligible, how far does it move horizontallyin the next second?A. Less than 80 metersB. 80 metersC. More than 80 meters

Sagot :

Given data:

* The initial distance covered by the cannonball is 80 meters.

* The time taken to cover the 80 meters is 1 second.

Solution:

By the kinematics equation, the distance covered by the ball in the terms of velocity and acceleration is,

[tex]d=ut+\frac{1}{2}at^2[/tex]

where d is the distance in the horizontal direction, u is the initial velocity along the horizontal direction, t is the time taken, a is the acceleration in the horizontal direction,

As the acceleration of the ball in the horizontal direction is zero.

[tex]\begin{gathered} d=ut+0 \\ d=ut \end{gathered}[/tex]

As the value of velocity along the horizontal direction remains the same, and time remains the same. Thus, the distance covered by the ball in the next second is the same as the initial distance.

Thus, the distance moved in the next second is 80 meters.

Hence, option B is the correct answer.

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