A stop watch is started as the object passes a point such

Question

Problem 1: - The function f is defined for all x by

f(x)=cosx-√3 sinx
Express f(x) in the form Rcos(x+∝),where R>0 and 0<∝<90

Problem 2: The distance travelled by an object ‘s'(metres) is related to the initial velocity ‘u ' (m/s) the acceleration ‘a' and time ‘t'(s) by the equation.

s=ut+1/2 at²

A stop watch is started as the object passes a point such that s=0 when t=0 .it takes 2 seconds for the object to travel 14 metres from the point and 5 seconds to travel 50m from the point. determine the initial velocity and acceleration.