For which of the vector diagrams is it true that T₁ + T₂ = T₃?

For which of the vector diagrams is it true that T₁ - T₂ = T₃?

For which of the vector diagrams is it true that T₁ + T₂ + T₃ = 0?

For which of the vector diagrams is it most obviously true that T₁ + T₂ + T₃ 0?

For which of the vector diagrams is it true that T₁ + T₃ = -T₂?

For which of the vector diagrams is it true that |T₁|² + |T₂|² = |T₃|²?

Which of the following sets of displacements, if they were oriented any way you wish, could not be made to yield a zero net displacement?

In the questions that follow (Questions 8–11), assume that the magnitude of the acceleration of gravity is exactly 10.0 m/s² and that there is no friction with the air.

"A bored golfer standing on a flat, horizontal section of the golf course hits a small stone with his club so that the horizontal and vertical components of its velocity as it leaves the ground are 20.0 m/s and 15.0 m/s respectively."

When the stone is at the top of its trajectory, its speed is ___ m/s.

When the stone is at the top of its trajectory, the magnitude of its acceleration is ___ m/s².

The time required for the stone to reach the highest point in its trajectory is ___ s.

The horizontal distance traveled by the stone before it hits the ground is ___ m.

The following sentence pertains to Questions 12–15.

"A projectile is launched from ground level with speed v_o at an angle _o above the horizontal."

If v_o was increased slightly, the range of the projectile would ___.

If _o was increased slightly, the time the projectile spends in the air before hitting the ground would ___.

If v_o was increased slightly, the maximum height attained by the projectile would ___.

If _o was decreased slightly, the range of the projectile would ___.