Consider a projectile launched with an initial velocity of 25.2m/s at an angle of θ0=30.9∘ above horizontal from level ground. After traveling a horizontal distance d=37.1m, it strikes a high cliff at a height hh above the original launch height. The impact angle, θ, may be above or below horizontal, depending upon whether or not the projectile has passed the apex of its flight. Use the Cartesian coordinate system provided in the drawing with the origin at the initial position of the projectile. Assume that air resistance is negligible. Part (a) How much time elapses, in seconds, from the moment the projectile is launched until it strikes the cliff? Part (b) At what height above the initial position, in meters, does the projectile
Consider a projectile launched with an initial velocity of 25.2m/s at an angle of θ0=30.9∘ above horizontal from level ground. After traveling a horizontal distance d=37.1m, it strikes a high cliff at a height hh above the original launch height. The impact angle, θ, may be above or below horizontal, depending upon whether or not the projectile has passed the apex of its flight. Use the Cartesian coordinate system provided in the drawing with the origin at the initial position of the projectile. Assume that air resistance is negligible.
Part (a) How much time elapses, in seconds, from the moment the projectile is launched until it strikes the cliff?
Part (b) At what height above the initial position, in meters, does the projectile strike the cliff?
Part (c) What is the speed of the projectile, in meters per second, as it strikes the cliff?
Part (d) What is the impact angle, in degrees measured counterclockwise from positive xxx, at which the projectile strikes the cliff? Your answer will satisfy θ∈(−90∘,90∘).
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Part (d) What is the impact angle, in degrees measured counterclockwise from positive xxx, at which the projectile strikes the cliff? Your answer will satisfy θ∈(−90∘,90∘).
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