Which of the curves in the graph below best represent the vertical component Vy of the velocity versus the time t for a projectile fired at an angle of 45 above the horizontal??

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Which of the curves in the graph below best represent the vertical component Vy of the velocity versus the time t for a projectile fired at an angle of 45 above the horizontal??

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Answer 1 · 2017-06-28T00:00:33

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After projectile is fired, initial vertical component of velocity decreases under retarding force of gravity, becomes stationary momentarily at the maximum height, then increases in the downward (-ve) direction as the projectile falls freely under gravity.

Explanation:

Vertical component of velocity of projectile is given by the kinematic expression

$v = u + a t$ $v=u+at$

In our case

$v_{y} (t) = v_{y 0} - g t$ $v_y(t)=v_(y0)-g t$
Acceleration due to gravity $g$ $g$ is taken as $- v e$ $-ve$ as it is in a direction opposite to direction of initial vertical velocity $v_{y 0}$ $v_(y0)$ .

Rearrange and notice that it represents a straight line. Compare it with standard equation.

$y = m x + c$ $y=mx+c$
$v_{y} (t) = - g t + v_{y 0}$ $v_y(t)=-g t+v_(y0)$

Slope of the line is negative. Makes an angle greater than $90^{\circ}$ $90^@$ with $x$ $x$ -axis.

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Which of the curves in the graph below best represent the vertical component Vy of the velocity versus the time t for a projectile fired at an angle of 45 above the horizontal??

1 Answer

Explanation:

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