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# Challenge in mechanics 4

A projectile is thrown at an inclination θ. A bird follows the path of the projectile maintaining a constant speed same as the initial speed of the projectile. Find the bird’s acceleration at its highest point?

Note by Ronak Pawar
3 years, 5 months ago

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Since velocity is constant we have acceleration always in the normal direction given by :

$$\frac { { v }^{ 2 } }{ R }$$ where $$R$$ is the radius of curvature.Now radius of curvature is given by

$$R=\frac { { v }^{ 2 }{ cos }^{ 2 }\theta }{ g }$$ .Putting the values we have :

$$\boxed { a=\frac { { v }^{ 2 } }{ (\frac { { v }^{ 2 }{ cos }^{ 2 }\theta }{ g } ) } =g{ sec }^{ 2 }\theta }$$

- 3 years, 5 months ago