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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 11.0° to the horizontal and that the take-off and landing heights are the same. Neglecting air drag, determine his take-off speed.

Respuesta :

Answer:

44.9 m/s

Explanation:

Initial velocity = v

Angle at which the projectile is shot at = θ = 11°

g = Acceleration due to gravity = 9.81 m/s²

Range of projectile

[tex]R=\frac {v^{2}\sin 2\theta}{g}\\\Rightarrow v=\sqrt{\frac{Rg}{sin 2\theta}}\\\Rightarrow v=\sqrt{\frac{77\times 9.81}{sin (2\times 11)}}=44.9\\\Rightarrow v=44.9\ m/s[/tex]

The take off speed of Jason Renie's motorcycle was 44.9 m/s