Home / Assignment Help / A yacht is pushed along at a constant velocity by the wind. The wind force is 180N at an angle of 25 degrees to the direction of the of the motion of the yacht. By resolving the wind force parallel and perpendicular to the direction of motion, determine the component of the wind force in the direction of motion.

A yacht is pushed along at a constant velocity by the wind. The wind force is 180N at an angle of 25 degrees to the direction of the of the motion of the yacht. By resolving the wind force parallel and perpendicular to the direction of motion, determine the component of the wind force in the direction of motion.

The
maximum altitude that the bullet will reach is the point at which its velocity
is zero. The equation that may be used in order to determine the altitude is,

                                   D = ((Vi)2 –
(Vf)2)/2g

Where
Vi and Vf are the initial and final velocities, respectively. g is the
deceleration due to gravity.

Substituting
the known values,

                                    D
= ((700 m/s)2 – (0 m/s)2) / (2(-9.8 m/s2))

                                    D = 25000 m

 

Thus,
the maximum height is 25000 m.

 

For
the time needed to reach it, we use the equation,

                                    Vf
= Vi – (g)(t)

Substituting,

                                    0 = 700 m/s
– (-9.8 m/s2)(t)

The
value of t is equal to 71.43 s.

 

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