Question

The velocity(v)of a vehicle measured at intervals of time(t) were recorded as follows

t(s)	0	2	4	6	8	10	12
v(m/s)	0	20	40	40	30	8	0

1. Represent this motion on a graph
2. Calculate the acceleration
3. Calculate the total distance travelled by the vehicle 
4. Calculate the average velocity of the vehicle

Answer 1

1. 
   
2. Acc = 40 − 0      
               4 −0
         =10m/s    
3. Area of A =½ × 4 × 40 = 80
              B = 40 × 2        = 80
              C = ½(40+30)2 =70 
              D =½(30+8) 2   =38
              E =½ × 2× 8      = 8      
                Total                  276   
4. Av. velocity = ²⁷⁶/₁₂ = 23m/s