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11 Dec 2019

Using kinematics equations and trigonometric relationships, calculate the muzzle velocity of a steel ball fired from a projectile launcher that is at measured angle of 35.0 degrees above the horizontal when the ball hits a target that is 1.00 m below where the balls leaves the launcher and a horizontal distance of 5.55 m away from the end of the launcher.

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A wheeled cart sits stationary on a track. The cart has a
funnel mounted on its top, and a steel ball sits in thefunnel,
as shown. Inside the funnel is a spring launcher which fires
the ball straight up. Thus when launched, the ball goes up and thenfalls back
into the funnel.
The time from the launch until the balls fall back into the funnelis t. The vertical speed
of the launched ball when it leaves the funnel is v0.
The mass of the cart, including the funnel and spring launcher, isM. The mass of the steel
ball is m. Assume that air resistance and friction are negligible.Assume that the mass of the wheels
of the cart is negligible compared to M. Assume that the track isalways long enough for
the cart to be on it between when the ball is launched and when itreturns.
PART A:
What is t, the time from the ball being launched until it fallsback into the funnel?
PART B:
Now the cart is moving to the right
with constant speed V. The ball is
launched and the cart continues
moving with speed V. When the ball returns to the same initialheight above the track, does it land in the funnel, to the rightof
the funnel, or to the left of the funnel?
PART C:
If your answer to B was that the ball lands in the funnel, showthat your answer is correct.
For any other answer, what is the distance from the center of thefunnel to the center of
the ball when the ball returns to the same initial height above thetrack?
PART D:
A constant force F is exerted on the
cart. When the cart’s speed is V, the ball
is launched. When the ball returns to the
same initial height above the track, does
it land in the funnel, to the right of the
funnel, or to the left of the funnel?
PART E:
If your answer to D was that the ball lands in the funnel, showthat your answer is correct.
For any other answer, what is the distance from the center of thefunnel to the center of
the ball when the ball returns to the same initial height above thetrack?
PART F:
The cart is rolling down an inclined plane
which is at an angle ? to the horizontal.
When the cart’s speed is V, the ball is
launched. When the ball returns to the same
initial perpendicular distance above the
track, does it land in the funnel, to the right
of the funnel, or to the left of the funnel?
PART G:
If your answer to F was that the ball lands in the funnel, showthat your answer is correct.
For any other answer, what is the distance from the center of thefunnel to the center of
the ball when the ball returns to the same initial perpendiculardistance above the track?

52.5 m/s 41.35 Problem 3 121 m.

A projectile is launched from the top of a cliff, with an initial velocity of 52.5 m/s directed at an angle 41.35° above the horizontal; the cliff rim stands 121 m above the ground below (see figure). The projectile hits the ground below at point P, a distance X away from the base of the cliff.

(a) Determine the time of flight, that is, the interval between launch and impact.

(b) At the instant of impact, find the projectile's vertical and horizontal components of velocity. 

(c) What is the maximum height reached by the projectile?

1)A catapult on a cliff launches a large round rock towards a shipon the ocean below. The rock leaves the catapult from a height H of34.0 m above sea level, directed at an angle ? above the horizontalwith an unknown speed v0. The projectile remains in flight for 6.00seconds and travels a horizontal distance D of 183.0 m. Assumingthat air friction can be neglected, calculate the value of theangle ?.Calculate the speed at which the rock is launched.To whatheight above sea level does the rock rise?

2)A small steel ball bearing with a mass of 25.0 g is on a shortcompressed spring. When aimed vertically and suddenly released, thespring sends the bearing to a height of 1.41 m. Calculate thehorizontal distance the ball would travel if the same spring wereaimed 31.0 deg from the horizontal.

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