A projectile is launched from ground level h0=0, to an uphill target at an elevation of h1 above ground, located at a distance d from the launch point. The projectile is fired with an initial velocity of v0, at an angle α > 45°. a) Make a sketch of the situation, including the given variables Solve the following problems algebraically, in any order you wish, using any approach, function or equation you wish: b) At what angle must the projectile be fired to hit the target? c) After what time does the projectile hit the target? d) What is the highest elevation of the projectile above ground? e) What is the angle at which the projectile hits the target? f) At what point of the trajectory of the projectile is the radius of curvature the smallest, and why? g) What is the radius of curvature at that point? h) What is the radius of curvature at the launch point? i) What is the path function y=f(x) of the projectile?
A projectile is launched from ground level h0=0, to an uphill target at an elevation of h1 above ground,
located at a distance d from the launch point. The projectile is fired with an initial velocity of v0, at
an angle α > 45°.
a) Make a sketch of the situation, including the given variables
Solve the following problems algebraically, in any order you wish, using any approach, function or
equation you wish:
b) At what angle must the projectile be fired to hit the target?
c) After what time does the projectile hit the target?
d) What is the highest elevation of the projectile above ground?
e) What is the angle at which the projectile hits the target?
f) At what point of the trajectory of the projectile is the radius of curvature the smallest, and why?
g) What is the radius of curvature at that point?
h) What is the radius of curvature at the launch point?
i) What is the path function y=f(x) of the projectile?
j) What is the total length of the path of the projectile?
k) Solve the above problemsfor the following parameters: h1 = 2,000, d = 12,000, v0 = 800
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