A projectile is given an initial velocity of 34.4 m/s at an angle of 57.5 degrees with respect to the horizontal. How far has it moved in the x-direction at the time when its speed in the y-direction is 10.3 m/s?

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Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 2CQ: Give an example of a trajectory in two or three dimensions caused by independent perpendicular...
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A projectile is given an initial velocity of 34.4 m/s at an angle of 57.5 degrees with respect to the
horizontal. How far has it moved in the x-direction at the time when its speed in the y-direction is 10.3
m/s?
Transcribed Image Text:A projectile is given an initial velocity of 34.4 m/s at an angle of 57.5 degrees with respect to the horizontal. How far has it moved in the x-direction at the time when its speed in the y-direction is 10.3 m/s?
Expert Solution
Step 1

Given data:

The initial velocity of the projectile is,

v0 = 34.4 m/s

The angle of projection of the projectile is,

θ= 57.50

The velocity of the projectile along the y-direction is,

vy = 10.3 m/s

Formula used:

x and y-component of the initial velocity of the projectile is,

v0x= v0cosθv0y= v0sinθ

Along the vertical direction, acceleration of the projectile is,

a= g=-9.8 m/s2

The velocity of an object at time t is,

v=v0+ at

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