The catapult is used to launch a ball such that it strikes the wall of the build

Question

The catapult is used to launch a ball such that it strikes the wall of the building at the maximum height of its trajectory. It takes 1.1 s to travel from A to B. (Figure 1) Determine the speed v_A at which it was launched. Express your answer to three significant figures and include the appropriate units. Determine the angle of release theta. Express your answer using three significant figures. Determine the height h. Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

Part A] Vx = x/t = 18 ft/1.1 s

= 16.36 ft/s

Vy = -gt

= 32.2*1.1

= 35.42 ft/s

Velocity VA = sqrt(16.36^2+35.42^2)

= 39.0 ft/s

partB ] angle theta = arctan(Vy/Vx) = arctan(35.42/16.36)

= 65.2 degree

partC] h = 3.5 + 35.42*1.1 - 0.5*32.2*1.1^2

= 23.0 ft answer

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