# physics

posted by .

A projectile is fired from the origin (at y = 0 m) as shown in the diagram. The initial velocity components are V0x = 310 m/s and V0y = 26 m/s. The projectile reaches maximum height at point P, then it falls and strikes the ground at point Q, which is 20 m below the launch point. For how long is the projectile in the air?

• physics -

Yo = 26 m/s.=Ver. component of initial velocity.

Y = Yo + gt.
Tr = (Y-Yo)/g = (0-26/-9.8 = 2.65 s. =
Rise time.

Tf1 = Tr = 2.65 s. = Fall time to launching point.

h = Yo*t + 0.5g*t^2 = 20 m.
26t + 4.9t^2 = 20
4.9t^2 + 26t - 20 = 0
Tf2 = 0.68 s. To fall 20 m.

T = Tr + Tf1 + Tf2=2.65 + 2.65 + 0.68 =
5.98 s. = Time in air.

• physics -

4.5s

## Similar Questions

1. ### Physics

A projectile is fired with an initial speed of 31.0 at an angle of 10.0 above the horizontal. The object hits the ground 7.50 later. a. How much higher or lower is the launch point relative to the point where the projectile hits the …
2. ### Physics

A projectile is fired with an initial speed of 28.0 m/s at an angle of 65 degrees above the horizontal. The object hits the ground 9.5 seconds later. a) How much higher or lower is the launch point relative to the point where the projectile …
3. ### physic

A projectile is fired from the origin (at y = 0s m) a shown in the figure. The initial velocity components are v 0x = 940 m/s and v 0y = 96 m/s. The projectile reaches maximum height at point P, then it falls and strikes the ground …

A projectile is fired at 45.0° above the horizontal. Its initial speed is equal to 42.5 m/s. Assume that the free-fall acceleration is constant throughout and that the effects of the air can be ignored. What is the maximum height …
5. ### Physics

A projectile is fired with an initial velocity of v0 feet per second. The projectile can be pictured as being fired from the origin into the first quadrant, making an angle O with the positive x-axis. If there is no air resistance, …
6. ### Physics

A projectile is launched at an angle of 34.0o above the horizontal. The projectile has a mass of 1.50 kg and is given an initial speed of 20.0 m/s. a) What is the initial kinetic energy of the projectile?
7. ### Physics

The magnitude of the velocity of a projectile when it is at its maximum height above ground level is 12 m/s. (a) What is the magnitude of the velocity of the projectile 1.7 s before it achieves its maximum height?
8. ### physics

The magnitude of the velocity of a projectile when it is at its maximum height above ground level is 15 m/s. (a) What is the magnitude of the velocity of the projectile 1.2 s before it achieves its maximum height?
9. ### physics

A projectile is fired at 30.0° above the horizontal. Its initial speed is equal to 172.5 m/s. Assume that the free-fall acceleration is constant throughout and that the effects of the air can be ignored. What is the maximum height …
10. ### physics

A projectile is fired from the origin (at y = 0 m) as shown in the diagram. The initial velocity components are and The projectile reaches maximum height at point P, then it falls and strikes the ground at point Q, which is 20 m below …

More Similar Questions