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y components of the puck\'s initial and acceleration are vor system at time t 0s

ID: 1260614 • Letter: Y

Question

y components of the puck's initial and acceleration are vor system at time t 0s, the x magnitude and direction velocity and acceleration are +1.0 m/s and a, +2.0 m/s. The of the velocity ver +2.0 m/s and a, -2.0 Find the puck's at a time of t m/s'. 0.50s. Specify the direction relative to xaxis. the at 4. A rocket is fired at a speed of 75.0 m/s from ground level, at an angle of600 above the horizontal.The negligibly short period of time, after which its engines shut down and the rocket coasts. By how much doesthe rocket clear the top of the wall? 5. An airplane with a speed of 97.5 m/s is climbing upward at an angle of 500 with respect to the horizontal. When the plane's altitude is 732 m, the pilot releases a package. (a) Calculate the distance alongthe gound, measured from a point directly beneath the point of release, to where the package the earth. bl Relative to the ground, determine the angle of the velocity vector of the package just before impact. 6. The drawing shows an exaggerated view of a rifle that has sighted in for a 9A-meter target.fthe muzzle speed of the bullet is vo 427 m/s, what are the two possible angles e and en angesisso between the rifle barrel and the horizontal such the bullet will hit the ofthese usefu:2sne that may be large that it is never used in target shooting. (Hint: The following cos e sin 20.)

Explanation / Answer

The velocity along x of the plane is

vx = 97.5*cos50 = 62.67 m/s

As the height is 732 m, the time to reach the ground is

t = sqrt(2h/g) = 12.22 s

Thus, the horizontal distance travelled by the package is

d = vx t

= 766 m   [ANSWER, PART A]

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The y component of the velocity will be

vy = -gt = -119.8 m/s

Thus, getting the angle of this using our vs above,

Angle = Arctan(vy/vx)

= 62.4 degres below the horizontal   [ANSWER]