A projectile is fired with an initial speed of 200 m/s, angle of elevation 60 degrees, and fired from 100m above the ground. What is the range, maximum height, and speed at impact?
Fundamental kinematics equation ought to take care of this one: \[\Delta s=vt+0.5at^2\]
I recommend treating the horizontal and vertical directions separately by taking vector components as well.
We haven't really talked much about physics in this class (multivariable) and I haven't taken basic physics for awhile. What would be acceleration here?
at maximum height velocity v = 0 vertical component of velocity at start is 200*sin 60 m/s use v^2 = u^2 + 2as where s = max height, and a = -9.81m s^-2 so 0 = (200*sin60) ^2 - 2*9.81* s solve this for s
If we're assuming that the projectile is pretty near to Earth's surface, you can use -9.81 m/s/s as gravitational field strength (acceleration).
acceleration = gravity = - 9.81 m s_2
Also, always draw a picture! |dw:1348944107203:dw|
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