Print this off and answer the questions in the spaces.
For all of these questions you must use the equations of motion in:
a) a vertical direction where acceleration = 9.8 m s-2 downwards
b) a horizontal direction where acceleration = 0
1. A cannonball is shot at a velocity of 100m s-1 at an angle of 30o to the horizontal.
a) Calculate the initial vertical velocity. _______________________________________________________________________________ (2)
b) Calculate the initial horizontal velocity. _____________________________________________________________________________ (2)
c) What height will it reach? [This is when vertical velocity = 0]
d) How long a time does it take to reach this maximum height?
e) If we double this time then the cannonball will have fallen back to the ground. How far in the horizontal direction has the cannonball travelled?
2. A bullet is fired at a speed of 250m s-1 at an angle of 40o to the horizontal. What will be its range? [This is the same as the above question]
3. A darts player stands 2.4m away from a dartboard and throws a dart exactly horizontally. The dart hits the board 2 0cm below the level it was thrown from.
a) How long did it take for the dartís flight? [Hint: For this you need to consider the vertical plane]
b) What speed was the dart thrown at? [Hint: For this part you need to consider the horizontal plane]
4. A projectile has the following conditions:
Initial speed = V m s-1
Angle to the horizontal = q o
Range = R
Find the range, R, in terms of an algebraic expression involving V, q , and g. This may seem very difficult but it is merely answering Q1 and Q2 using algebra rather than numbers.
When we solve problems with projectile motion, we assume that air resistance is negligible. How do you think the range of a projectile would be affected by air resistance? What would the path end up as? What factors would affect the air resistance of the projectile?