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In this lesson, we will learn how to solve problems about the motion of a projectile on an inclined plane.

Q1:

An archer shot an arrow with a speed of 80 m/s at an angle of 2 0 β above the horizontal. Calculate the arrowβs horizontal range π₯ . Also calculate its vertical height β above the launch point when it was at a distance of 46 m from the archer. Give your answers in metres correct to one decimal place. Consider the acceleration due to gravity to be 9.8 m/s^{2}.

Q2:

A boulder was catapulted with a speed of 14 m/s at an angle of elevation of 5 6 β from point π on horizontal ground, which is 6 m away from a castle wall that is 6 m high. Did the boulder go over the wall? Take π = 9 . 8 / m s 2 .

Q3:

A catapult flung a boulder from the top of a castle wall with a speed of 11 m/s at an angle π above the horizontal, where s i n π = 4 5 . The boulder landed on the ground a distance of 66 m from the wall. Calculate the time it took for the boulder to reach the ground and find the height of the castle wall. Take π = 9 . 8 / m s 2 .

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