An object is launched from the ground with an initial velocity and angle such that the maximum height achieved is equal to the total range of projectile. The tangent of the launch angle is?

A projectile is projected from the origin with a velocity of 35m/s at an angle of 33 degrees above the horizontal. What is the range of the projectile? (Answer in Meter)

In the absence of air resistance, a projectile is launched from and returns to ground level. It has a range of 16m. Suppose the launch speed is doubled, and the projectile is fired at the same angle above the ground. What is the new range?

A projectile is launched with an initial velocity of 100 m/s at a 30° angle above the horizontal. Calculate the maximum height achieved by the projectile.

A parent at a Little League game returns a foul ball by throwing it back onto the field. When the parent throws the ball back, she is standing and ends up releasing the ball from a point that is 2.50m above the ground. Your best guess is that she threw the ball upward at an angle of 60o with respect to the ground and it landed 13m away from her. What was the height of the ball's apex (as measured from the ground)?

The citizens of Paris were terrified during World War I when they were suddenly bombarded with shells fired from a long-range gun known as Big Bertha. The barrel of the gun was 36.6 m long, and it had a muzzle speed of 2.20 km/s. When the gun’s angle of elevation was set to 55.0°, what would be the range? For the purposes of solving this problem, ignore air resistance. (The actual range at this elevation was 121 km; air resistance cannot be ignored for the high muzzle speed of the shells.) km

A projectile launched at 45° upwards from the ground takes 2.4 seconds to return to the ground. Approximately what speed was the projectile launched?

Engineering dynamics. Don't use Artificial intelligence tools.

A tennis ball is projected at ground level. After 2 seconds, it just clears a net 2.5 metres high at a horizontal distance of 30 metres. Find:i) The angle of projection and the initial velocity ii) The time of flight and the range

Question 2. A projectile is fired from the ground with an initial speed v at an angle 0 above the horizontal. (a) At t = 0, what is the velocity vector? (b) At what time t' does the projectile reach its maximum height? (c) What is the velocity vector at the top of the trajectory? (d) What is the horizontal distance traveled by the projectile? (e) At what angle should one launch the projectile to maximize horizontal distance traveled?