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A projectile is launched with an initial speed of 48.0 m/s at an angle of 35.0°

ID: 1527143 • Letter: A

Question

A projectile is launched with an initial speed of 48.0 m/s at an angle of 35.0° above the horizontal. The projectile lands on a hillside 3.60 s later. Neglect air friction. (Assume that the +x-axis is to the right and the +y-axis is up along the page.)

(a) What is the projectile's velocity at the highest point of its trajectory?


(b) What is the straight-line distance from where the projectile was launched to where it hits its target?
___________ m

magnitude _________ m/s direction ___________ ° counterclockwise from the +x-axis

Explanation / Answer

Vx = Vo cos 35
Vy = Vo sin 35

Vx = (48) cos 35
Vy = (48) sin 35

At maximum height, Vy = 0 so velocity is strictly Vx
Vx = 39.32 m/s <======= Answer to A

Distance to target:
X = Xo +Vox t + (1/2)at^2

Substituting
x = 0 + (39.32)(3.6) + 0
x = 141.6 m

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