Answers to Kinematics Homework

Vectors and Scalars (Page 1)

 1. D		(1998 PI  Q1)
 2. B		(1997 PI  Q1)
 3. E		(1995 PI  Q1)
 4. E	 	(1992 PI  Q1)


Vector Diagrams (Pages 2-5)

 1.    3.85km at 021.2o
 2.    125 nautical miles at 227o
 3.    279.6 knots at 085.6o
 4.    Change
 5.    Change
 6.    S = 158.11m at 071.6o			(1998 PI  Q31)
 7.    VRes = 45.8m/s at 350.3o 			(1997 PII Q1c)
 8.    C					(1996 PI Q2)
9a.    Vectors: magnitude and direction.	(1995 PII Q1)
       Scalars: magnitude only.	

b.i.   S = 535.7m at 067.5o

b.ii.  VAndy = 1.15m/s at 067.5o

b.iii. VPaul = 2.5m/s  					

b.iv.  Andy ahead of paul by 48.4s

      Resolution of Vectors (Pages 5-6)

 1.   E				(1992 PI  Q5)
 2.   B				(1997 PI  Q7)
 3.a. FRes =  281.9N		(1997 PI  Q31a/b)
   b. FRes = -281.9N   
 4.   C				(1999 PI  Q1)
 5.   D				(1996 PI  Q4)
   

Velocity / Acceleration Time Graphs(Pages 7-13)

 1. D	(1993 PI  Q1) 
 2. C	(1994 PI  Q4)
 3. E	(1999 PI  Q3)
 4. A   (1992 PI  Q2)
 5. A	(1998 PI  Q2)
 6. C	(1995 PI  Q2)
 7. C	(1997 PI  Q2)
 8. C	(1996 PI  Q1)
 9. A	(1999 PI  Q2)
10.  aAB =  2m/s2
     aBC =  4m/s2
     aCD =  1m/s2
     aDE = -2m/s2
     aEF =  0m/s2
     aFG = -8m/s2

11.  Acceleration Time Graph


12a. 3m/s2

12b. Velocity Time Graph


12c. Acceleration Time Graph


13.a.	a = -1.6m/s2  
   b.	

   c.


14a. (0 to 0.5)s   : Ball is in free fall. Downward acceleration of 10m/s2.
     (0.5s)	   : Ball strikes ground.
     (0.5 t0 1.0)s : Ball travels upwards with decreasing velocity.	
     (1.0s)        : Ball reaches maximum height.
     (1.0 to 1.5)s : Ball accelerates towards the earth at 10m/s2.
     (1.5s)        : Ball strikes ground.
     (1.5 t0 2.0)s : Ball travels upwards with decreasing velocity.
     (2.0s)        : Ball reaches maximum height.
     (2.0 to 2.5)s : Ball accelerates towards the earth at 10m/s2.

15a. P: Launch
     Q: Engines cut out.
     R: Maximum height reached.
     S: Lands on planet surface.

15b. Acceleration time graph.


15c. -4m/s2


Acceleration and Equations of Motion: Non Projectile ( Pages 14 to 16)

1.  				(1999 PII  Q1bi/ii)
2.  				(1994 PI  Q31)
3.  				(1998 PII  Q1a)
4.  100m
5.  D				(1998 PI  Q3)
6.  C				(1994 PI  Q3)
7.  A				(1997 PI  Q3)
8.  B				(1993 PI  Q2)
9.a.i    S = 98m		(1999 PII  Q1ai/ii/iii)
  a.ii.  Vincrease = 11.6m/s
  a.iii. S = 320m

10.a. t = 5s			(1995 PII  Q2a/b/c)
   b. vP = 8m/s
      vQ = 6m/s
   c. S = 5m


Equations of Motion: Projectiles ( Pages 17 to 23)

1.  D	(1995 PI  Q4)
2.  B	(1996 PI  Q5)
3.  B	(1995 PI  Q3)
4.  D	(1998 PI  Q4)
5.  B	(1996 PI  Q3)
6.  C	(1992 PI  Q4)
7.  C	(1999 PI  Q5)
8.  D	(1997 PI  Q4)
9.  D	(1997 PI  Q5)
10. E	(1999 PI  Q4)

11.  vv = 25m/s
     vH = 43.3m/s

12i.  True
  ii. False
  iii.False


13a. 44.1m
  b. Vreultant = 12m/s
  c. Vreultant = 31.75m/s

14a. SH = 251.2m
  b. Sv = 52.7m

15.a. Vver=7(m/s)	(1999 PI  Q31a/b)
   b. 

16.a. VHor = 12m/s	(1993 PI  Q31a/b)
   b. SHor = 312m

17.			(1996 PI  Q31)

18.(A) 	t = 0.3s
   (B) 	vhor = 3.33(m/s)
   (C) 	vres = SQRT(v2hor + v2ver)
       	vres = SQRT(3.332 + 2.942)
	vres = 4.44m/s

19.	t = 2.86s

20.a.i.				(1994 PII  Q1ai)
   a.ii. vH = 9.3m/s		(1994 PII  Q1aii)
   b.				(1994 PII  Q1b)

Motion and Energy ( Pages 24 to 25)

21.  C	(1992 PI  Q8)
22.  D	(1993 PI  Q4)

23.a.i.				(1992 PII  Q2ai)
   a.ii. s = 1120m		(1992 PII  Q2aii)
   b.i.				(1992 PII  Q2bi)
   b.ii. sver = 125m		(1992 PII  Q2bii)