Assuming the ball is thrown in a constant gravitational field causing an acceleration of 9.81 m/s/s (similar to Earth's surface),
y(t) = H + Vt - (g/2)(t^2)
Where H is its original height above your chosen origin, V is its initial upward velocity, g is the acceleration due to gravity (9.81 m/s/s) and t is the number of seconds after throwing it. If we set H to 0 (arbitrarily making the ball's initial height 0) and if are interested in a path wherein the ball takes 60 seconds to return to its original height (0), we say:
y(60) = 0 + V(60) - (g/2)(60^2)
The problem states that it "returns back to the hand" at 60 seconds. This implies that at 60 seconds, it is back at its original position (y(60) = 0)
therefore:
y(60) = 0 = 0 + V(60) - (g/2)(60^2)
We can simplify the expression on the RHS above to find V.
The equation for projectile motion is parabolic with respect to time - this means that, by symmetry, the greatest height is achieved at half the time it takes to return. Plug 30 seconds into the above equation, and I get a result of 4414.5 m. That's almost three miles high!
A the moment when the ball just touches the thrower's hand, it will have the velocity with which it was thrown and the acceleration will be equal to the acceleration due to gravity at the place acting vertically downwards.
If that's 32.1 meters per second initially, then after 4 seconds it's fallingwith a speed of 7.1 meters per second.If that's 32.1 feet per second initially, then it returns to the thrower's hand injust under 2 seconds, and it's in the dirt long before 4 seconds have passed.If it had been tossed at the edge of a cliff, then after 4 seconds, it would befalling with a speed of 96.7 feet per second.
The displacement of the ball from when it was thrown to when it returns to the thrower is zero, as the ball has completed a full round trip back to its initial position. Displacement is a vector quantity that measures the change in position from the initial point to the final point.
The total time of flight for a ball thrown vertically upwards and returning to its starting point is twice the time taken to reach maximum height. Therefore, the time taken to reach maximum height is 4 seconds. Given that the acceleration due to gravity is -9.8 m/s^2, using the kinematic equation v = u + at, where v is the final velocity (0 m/s at maximum height), u is the initial velocity, a is the acceleration due to gravity, and t is the time, you can solve for the initial velocity. Substituting the values, u = 9.8 * 4 = 39.2 m/s. Therefore, the initial velocity of the ball thrown vertically upward is 39.2 m/s.
A boomerang is a weapon that, when thrown, follows a curved trajectory and returns to the thrower. It is designed to come back due to its unique aerodynamic shape and spin. Boomerangs have been historically used for hunting and recreation by Indigenous Australians.
The ball was thrown horizontally at 10 meters per sec, and the thrower's arm was 78.4 meters above the base of the cliff.
An Aztec spear thrower is called an atlatl. It is a tool used to increase the velocity and distance of a thrown spear by providing leverage for the thrower.
The answer depends on whether the ball is thrown vertically upwards or downwards. That critical piece of information is not provided!
If a ball is thrown vertically upward with a velocity of 160 ft/s, then its height after t seconds is s = 160t - 16t^2. If a ball is thrown vertically upward with a velocity of 160 ft/s, then its height after t seconds is s = 160t − 16t^2.
At the highest point, the velocity of an object thrown vertically into the air is momentarily zero as it changes direction. This is the point where it transitions from going upward to downward.
boomarang
Ignoring air resistance and using g = 9.81 ms-2, velocity = 20.38 ms-1.