A cannon is placed at the bottom of a cliff61.5 m high. If the cannon is fired straight upward, the cannonballjust reaches the top of the cliff. (a) What is the initial speed of thecannonball? (b) Suppose a second cannon is placed at the top ofthe cliff. This cannon is fired horizontally, giving its cannonballsthe same initial speed found in part (a). Show that the range of thiscannon is the same as the maximum range of the cannon at thebase of the cliff. (Assume the ground at the base of the cliff is level,though the result is valid even if the ground is not level.)

A cannon is placed at the bottom of a cliff61.5 m high. If the cannon is fired straight upward, the cannonballjust reaches the top of the cliff. (a) What is the initial speed of thecannonball? (b) Suppose a second cannon is placed at the top ofthe cliff. This cannon is fired horizontally, giving its cannonballsthe same initial speed found in part (a). Show that the range of thiscannon is the same as the maximum range of the cannon at thebase of the cliff. (Assume the ground at the base of the cliff is level,though the result is valid even if the ground is not level.)

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Question

A cannon is placed at the bottom of a cliff
61.5 m high. If the cannon is fired straight upward, the cannonball
just reaches the top of the cliff. (a) What is the initial speed of the
cannonball? (b) Suppose a second cannon is placed at the top of
the cliff. This cannon is fired horizontally, giving its cannonballs
the same initial speed found in part (a). Show that the range of this
cannon is the same as the maximum range of the cannon at the
base of the cliff. (Assume the ground at the base of the cliff is level,
though the result is valid even if the ground is not level.)

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