The important affair is that this is the blueprint of a parabola. Looking aback at the vertical position abstracts from the video, it at atomic seems adequately parabolic. Even better, the accessory in advanced of the t2 appellation should be the dispatch disconnected by two. Application the emblematic fit, this gives a vertical dispatch of –11.54 m/s2. True, this is not the accepted amount of –9.8 m/s2, but it’s absolutely close. (I doubtable that my calibration for the breadth of the cannon could be off by a little bit.)
Neither the x nor y-motions of Knoxville disagree with the accepted physics. Does it beggarly the video is real? Nope—it could still be faked, but alone I anticipate that it is absolutely real. I mean, accomplishing brainless stunts is the accomplished point of a cine like this.
How Fast Was He Launched From the Cannon?
Right back Knoxville leaves the cannon, he is affective in both the accumbent (x) and vertical (y) directions. We already apperceive his accumbent velocity, so we would aloof charge the vertical basic of velocity.
However, there’s a way to get the absolute acceleration (we alarm that the consequence of the acceleration vector) aloof by application the barrage angle. Looking at the video and application the protractor apparatus on Tracker Video Analysis, it seems like the cannon is angled 52 degrees aloft the horizontal. Since the accumbent and vertical velocities are perpendicular, I can draw the afterward appropriate triangle:
With this actuality a appropriate triangle, I can use the cosine as the arrangement of the adjoining ancillary (vx) to the hypotenuse (v total). But I apperceive vx and the angle—so, there you go. That puts the absolute barrage acceleration at 17.7 m/s (39.6 mph). Yeah, that’s appealing fast. It’s slower than a professionally-pitched baseball, but faster than you can run. This barrage acceleration will be advantageous to acknowledgment some added questions.
How Far Did He Go?
The bivouac doesn’t appearance Knoxville’s accomplished motion afterwards actuality attempt from the cannon, but that’s OK. We can use our projectile motion equations to break for this distance.
The key to any projectile motion botheration is that the accumbent and vertical motions are independent, except for the time. That agency that I can attending at this projectile-human and aloof accede his vertical position and vertical velocity. I can again use this absolute time for the accumbent motion and acquisition out area the dude hits the water.
How To Find Initial Velocity – How To Find Initial Velocity
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