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Classical Mechanics

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Moderate

Finding a Velocity Component from a Trajectory

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A person tosses a ball across a field. The trajectory of the ball is given by the following formula:

$$y = - 2.5 \space x^2 + 16 \space x + 1.8$$

The $x$-component of the ball's velocity at $x = 4.1 \space m$ is $v_x = 1.1 \space m/s$. What is the $y$-component of the ball's velocity at this position?

A

$0 \space m/s$

B

$- 4.9 \space m/s$

C

$- 9.8 \space m/s$

D

$4.9 \space m/s$

E

$9.8 \space m/s$