Question

Asked Sep 25, 2019

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1) A cannon is at a castle on a cliff and at a hight of 200 m above the sea level. The

cannon barrel points at an angle of +30.0◦

from the horizontal (pointing slightly upwards)

and can give a maximum speed to the cannon ball of 70.0 m/s. Ignoring air resistance

how close in the horizontal displacement should a ship be in order for the cannon to be

able to hit the ship. (hints: identify the motion, write the equations and calculate first

the total time the ball is in the air). A ship has some size so we do not need an accuracy

better than 10 m.

a. about 6.6 ×102 m

b. about 5.3 ×102 m

c. about 4.3 ×102 m

d. about 2.2 ×102 m

Step 1

The above problem is an example of projectile motion.

The velocity of projection *u* can be resolved into horizontal and vertical components as,

Step 2

Substitute 70 m/s for* u *in the above two expressions and solve for *u _{x} *and

Step 3

Using the second kinematic equation for motion of the ...

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