(a) The velocity v of an object is given by the formula v u at Determine the value of v for 2 u a t 5m/s, 10m/s and 2s.
(b) Fig 1 The period T of a pendulum shown in Fig 1 is defined as 1 2 L T g where 2 g 9.8m/s is acceleration due to gravity and L is the length of the pendulum. (i) If L 1m determine the period T. (ii) Make L the subject of the formula.
(c) Expand the following brackets and simplify: x x 1 2
(d) The deflection of a beam of length L at distance x is given by L Page 2 of 5 2 2 2 4 16 16 w x L wx y EI EI where w is the load per unit length and EI is the flexural rigidity. Factorise this expression.
(e) The height h (above ground level) of a ball thrown vertically upwards is given by the quadratic 2 h t t 4.9 55 12 in the graph below in Fig 2: