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3 years ago

5

A skateboarder is moving at 2.00m/s and increases his velcity at a rate of 1.6m/s/s for 6.0 seconds. What is the displacement of

the skateboarder during this game? Must include Given, Find , and Equation. Show all work .

1 answer:

MrRissso [65]3 years ago

7 0

Answer:

S = 40.8m

Explanation:

<u>Given the following data;</u>

Initial velocity, u = 2m/s

Acceleration, a = 1.6m/s²

Time, t = 6secs

Required to find the displacement

Displacement, S = ?

The displacement of an object is given by the second equation of motion;

$S = ut + \frac {1}{2}at^{2}$

Where;

S represents the displacement measured in meters.

u represents the initial velocity measured in meters per seconds.

t represents the time measured in seconds.

a represents acceleration measured in meters per seconds square.

<em>Substituting into the equation, we have;</em>

$S = 2*6 + \frac {1}{2}*(1.6)*6^{2}$

$S = 12 + 0.8*36$

$S = 12 + 28.8$

S = 40.8m

<em>Therefore, the displacement of the skateboarder during this game is 40.8 meters. </em>

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<h3>Remark</h3>

The statement is incomplete and figure is missing, complete form is introduced below:

<em>Arm AB has a constant angular velocity of 16 radians per second counterclockwise. At the instant when θ = 60°, determine the acceleration of collar D.</em>

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