NOTE: This is a multi-component question. Once an answer is submitted, you will be unable to go back to this component.

You are watching: At a given instant in an airplane race

At a offered immediate in an plane race, aircraft A is flying horizontally in a directly line at a rate of 450 km/h, and also its rate is being increased at the price of 8 m/s2. Airaircraft B is flying at the exact same altitude as plane A and, as it rounds a pylon, is complying with a circular path of 300-m radius. At the given immediate, the speed of B is being reduced at the rate of 3 m/s2 . Determine, for the positions shown, the velocity of B relative to A.

The velocity of B loved one to A is 501.095 km/h⦫ 68.9°.

Determine, for the positions presented, the velocity of B family member to A.

The velocity of B loved one to A is km/h⦫ °.

We have actually vB = vA + vB/A The graphical representation of this equation is then as displayed. We have vB/A2 = vA2 + vB2 − 2 ( vA )( vB )cos60 °

Determine the acceleration of B relative to A.

The acceleration of B relative to A is 82.2 m/s2.

Now, aB n = vB2 ρB Then, aB = aB t + aB n Finally, aB = aA + aB/A Solve for aB/A .

NOTE: This is a multi-part question. Once a solution is submitted, you will be unable to go back to this part.

A nozzle discharges a stream of water in the direction displayed via an initial velocity of 24 ft/s. Determine the radius of curvature of the stream as it leaves the nozzle.

The radius of curvature of the stream is 21.8 ft.

Determine the radius of curvature of the stream as it leaves the nozzle.

The radius of curvature of the stream is ft.

As water leaves the nozzle,

v = 24 ft/s

an=gsin55°=32.2ft/s2sin55°=26.377ft/s2

an=v2ρ

ρ=v2an=24ft/s226.377ft/s2=21.837ft

Determine the radius of curvature of the stream at the maximum elevation of the stream.

The radius of curvature of the stream is 12 ft.