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the current world-record motorcycle jump is 77.0 m, set by jason renie. assume that he left the take-off ramp at 120° to the horizontal and that the take-off and landing heights are the same. neglecting air drag, determine his take-off speed.

Respuesta :

The speed of his take off is 43.2 m/s if he left the take-off ramp at 120° to the horizontal and that the take-off and landing heights are the same. neglecting air drag.

Explanation

We have given that

R = 77.0m

[tex]\theta_0[/tex] = 12.0°

The horizontal range of such projectile R is given from the relation :

[tex]R = \frac{v^2_0}{g} sin 2 \theta_0[/tex]

Here, [tex]v_0[/tex] is velocity of take-off & [tex]\theta_0[/tex] is the angle of take-off

With this in mind,

[tex]v_0[/tex] = [tex]\sqrt{\frac{gR}{sin2\theta_0}[/tex]

    = [tex]\sqrt{\frac{(9.8 m/s^2)(77m)}{sin24}[/tex]

    = 43.2 m/s

What is velocity?

Velocity is the directional speed of a moving item as an indication of its rate of change in position as seen from a specific frame of reference and measured by a specific time standard (e.g., 60 km/h northbound). The idea of velocity is crucial in kinematics, the part of classical mechanics that explains the motion of bodies.

A physical vector quantity called velocity requires both magnitude and direction to be defined. Speed is a coherent derived unit that expresses the scalar absolute value (magnitude) of velocity. Its quantity is expressed in SI (metric system) units of metres per second (m/s or ms1). For example, "5 meters per second" is a scalar while "5 meters per second east" is a vector.

Learn more about Velocity

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