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A stunt man drives a car at a speed of 20 m/s off a 20-m-high cliff. The road leading to the cliff is inclined upward at an angle of 20∘. How do I find time?

Respuesta :

okpalawalter8

We have that the time is found by solving using the Newton's

as shown below

we have Time given as

t=2.78

From the question we are told

  • A stunt man drives a car at a speed of 20 m/s off a 20-m-high cliff. The road leading to the cliff is inclined upward at an angle of 20∘.
  • How do I find time?

Generally the Newtons equation for the Distance is mathematically given as

[tex]S=Ut+0.5at^2\\\\Where\\\\U=Vsins\theta\\\\\ U=20sin20\\\\U=6.84[/tex]

Therefore

[tex]20=6.8t+0.5(9.8)t^2\\\\\t=\frac{8.84\pm\sqrt{-6.84^2-4(4.9(-20))}}{2*4.9}\\\\\t=\frac{8.84\pm 18.5799}{9.8}[/tex]

Therefore

[tex]t=\frac{8.84+18.5799}{9.8}\\\\t=2.79794898[/tex]

t=2.78

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