1) Work out the angle from the base of the trebuchet, to the point where the ball is released, by doing tan-1(y/x). y is the height from the base of the trebuchet, to the top of the arm, where the projectile is released. x is the width of the base. 2) Use this formula; ...
10. An arrow is shot from a height of 1.5 m toward a cliff of height H. It is shot with a velocity of 30 m/s at an angle of 60º above the horizontal. It lands on the top edge of the cliff 4.0 s later. (a) What is the height of the cliff? (b) What is the maximum ...
Learn about projectile motion equations. Understand what a parabolic path is and how to find the max height of the projectile. Discover the initial...
maximum rangeStarting from the mechanical motion formula and assuming that the athlete's output energy is fixed when throwing an object, we study the movement law of projectile with the consideration of the law of energy conservation. The effects of athlete's output energy, shoulder height, and ...
2. Launching projectile from some height (initial height > 0). However, if the projectile is thrown from some elevation hh, the formula is a bit more complicated: t=V0sin(α)+(V0sin(α))2+2ghgt=gV0sin(α)+(V0sin(α))2+2gh You can also estimate the path the projectile...
The last equality in the above equation is from the triple cross product formula (Introduction to Vectors in Space). We need an expression for r⋅vr⋅v. To calculate this, we differentiate r⋅rr⋅r with respect to time:ddt(r⋅r)=drdt⋅r+r⋅drdt=2r⋅drdt=2r⋅v.ddt(...
The maximum height of the projectile is given by,H=u2sin2(θ)2gTime of flight: It is the total time for which the ball remains in the air.T=2usin(θ)θEquation of path of the projectile is given by,y=xtan(θ)–gx22v2cos(θ)From the above equation, we have the ...
Ideal angle to launch from a swing to maximize distance Here is the general solution in the released pendulum model (since you asked me to post it). Here is the definition of my variables: hh is the height of the swing off the ground when it's at rest $... GPhys 1,559 answered...
All that is left to do is equip the above with an appropriate set of initial conditions at time t = 0: we will imagine that the projectile is fired from an initial starting height h at an angle of θ degrees and initial speed (velocity magnitude) v0, which gives: r(0) = (0, h...
Let's assume we want to calculate the time of flight and distance traveled by a ball ⚽ thrown from the Eiffel tower with a horizontal speed only, e.g., 7 m/s. Enter the velocity. In our case, it's 7 m/s. Change the units if needed. Type in the initial height from which th...