1. A projectile is fired with rate v0 in ~ an edge ? indigenous thehorizontal as shown in the figure

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Part A

Find the highest suggest in the trajectory, H.

You are watching: Find the angle θ above the horizontal at which the projectile should be fired.

Express the highest point in regards to the size of theacceleration due to gravity g, the early velocity v0, and theangle ?.

H =

Part B

What is the selection of the projectile, R?

Express the variety in terms of v0, ?, and g.

R =?

Consider her advice come an artillery officer who has actually thefollowing problem. From his existing postition, he should shoot over ahill of height H in ~ a target ~ above the other side, which has actually the sameelevation as his gun. He knows from his accurate map both thebearing and the distance R to the target and likewise that the hill ishalfway come the target. To shoot together accurately together possible, that wantsthe projectile to just barely pass over the hill.

Part C

Find the angle ? over the horizontal at which the projectileshould be fired.

Express her answer in terms of H and R.

? =?

Part D

What is the early stage speed?

Express v0 in regards to g, R, and H.

v0 =?

Part E

Find tg, the flight time the the projectile.

Express the trip time in regards to H and g.

tg =?

2. A softball is hit end a 3rd baseman"s head v somespeed

v0 at an angle ? above the horizontal. Immediately after theball is hit, the third baseman turns around and also begins to run at aconstant velocity V=7.00m/s. He records the ballt=2.00s later atthe same elevation at which that left the bat. The 3rd baseman wasoriginally standing L=18.0m from the ar at i beg your pardon the ball washit.

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Part A

Find v0. Use g=9.81m/s2 because that the magnitude of the accelerationdue come gravity.

Express the initial rate numerically in systems of meter persecond come three significant figures.

v0 = ? m/s

Part B

Find the edge ? in degrees.

Express your answer numerically in degrees to 3 significantfigures.

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? = ? ?


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