# Worksheet: Projection on a Uniform Slope

In this worksheet, you will practice solve problems about the motion of a projectile on an inclined plane and describing the projectile velocity, acceleration and position vectors in terms of the unit vectors i, and j parallel and perpendicular to that plane.

Q1:

An archer shot an arrow with a speed of 80 m/s at an angle of above the horizontal. Calculate the arrowβs horizontal range . Also calculate its vertical height 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/s2.

• A ,
• B ,
• C ,
• D ,
• E ,

Q2:

A boulder was catapulted with a speed of 14 m/s at an angle of elevation of from point 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 .

• Ayes
• Bno

Q3:

A catapult flung a boulder from the top of a castle wall with a speed of 11 m/s at an angle above the horizontal, where . 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 .

• A 20 s, 402 m
• B 10 s, 405.95 m
• C 10 s, 807.95 m
• D 10 s, 402 m
• E 20 s, 807.95 m