Chapter 3: Problem 54
What is the maximum height above ground a projectile of mass \(0.79 \mathrm{~kg}\), launched from ground level, can achieve if you are able to give it an initial speed of \(80.3 \mathrm{~m} / \mathrm{s} ?\)
Chapter 3: Problem 54
What is the maximum height above ground a projectile of mass \(0.79 \mathrm{~kg}\), launched from ground level, can achieve if you are able to give it an initial speed of \(80.3 \mathrm{~m} / \mathrm{s} ?\)
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Get started for freeA copy-cat daredevil tries to reenact Evel Knievel's 1974 attempt to jump the Snake River Canyon in a rocket-powered motorcycle. The canyon is \(L=400 . \mathrm{m}\) wide, with the opposite rims at the same height. The height of the launch ramp at one rim of the canyon is \(h=8.00 \mathrm{~m}\) above the \(\mathrm{rim},\) and the angle of the end of the ramp is \(45.0^{\circ}\) with the horizontal.
In a projectile motion, the horizontal range and the maximum height attained by the projectile are equal. a) What is the launch angle? b) If everything else stays the same, how should the launch angle, \(\theta_{0},\) of a projectile be changed for the range of the projectile to be halved?
You serve a tennis ball from a height of \(1.8 \mathrm{~m}\) above the ground. The ball leaves your racket with a speed of \(18.0 \mathrm{~m} / \mathrm{s}\) at an angle of \(7.00^{\circ}\) above the horizontal. The horizontal distance from the court's baseline to the net is \(11.83 \mathrm{~m},\) and the net is \(1.07 \mathrm{~m}\) high. Neglect spin imparted on the ball as well as air resistance effects. Does the ball clear the net? If yes, by how much? If not, by how much did it miss?
To attain maximum height for the trajectory of a projectile, what angle would you choose between \(0^{\circ}\) and \(90^{\circ}\), assuming that you can launch the projectile with the same initial speed independent of the launch angle. Explain your reasoning.
A rocket-powered hockey puck is moving on a (frictionless) horizontal air- hockey table. The \(x\) - and \(y\) -components of its velocity as a function of time are presented in the graphs below. Assuming that at \(t=0\) the puck is at \(\left(x_{0}, y_{0}\right)=(1,2)\) draw a detailed graph of the trajectory \(y(x)\).
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