# 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 arrowβs 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/s^{2}.

- 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