Physics: Apackage is dropped from the plane which is flying with a constant horizontal velocity of va = 150 ft/s. determine the normal and tangential components of acceleration and the radius of curvature of the path of motion (a) at the moment the package is released at a, where it has a horizontal velocity va = 150 ft/s, and (b) just before it strikes the ground at b.

I would say the answer is true...

Apackage is dropped from the plane which is flying

austintules2005

12.07.2019

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

$a = 32 ft/s^2$

so as we know that

$a = \frac{v^2}{r}$

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

$a_c = 32 ft/s^2$

$a_t = 0$

now radius of curvature is given as

$r = \frac{v^2}{a_c}$

$r = \frac{150^2}{32}$

$r = 703.125ft$

so the radius of curvature just after it is dropped is 703.125 ft

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