Time for 20 oscillations of a pendulum is measured as `t_1 = 39.6 s ,t_2 = 39.9s`, `t_3 = 39.5s`, What is the precision in the measurements ? What is the accuracy of the measurement ?

Find measure x in Fig 3.9.

An angle is (1)/(3) its complement . What are measures of the angles ?

The time period T of oscillation of a simple pendulum of length l is given by T=2pi. sqrt((l)/(g)) . Find the percentage error in T corresponding to 2% in the value of l.

The time t of a complete oscillation of a simple pendulum of length l is given by the equation T=2pisqrt(1/g) where g is constant. What is the percentage error in T when l is increased by 1%? Comment the above result.

The equations of motion of a rocket are x=2t, y=-4t and z=4t , where time t is given in seconds, and the coordinates of a moving point in kilometres. What is the path of the rocket ? At what distance will be the rocket from the starting point O(0, 0, 0) in 10 s ?

The position of a particle is given by r=3.0t hati - 2.0t^2 hatj + 4.0 hatk m where tis in seconds and the coefficients have the proper units for r to be in metres:- What is the magnitude and direction of velocity of the particle at t = 2.0 s ?

A particle starts from the origin at t = 0 s with a velocity of 10.0 hatj m//s and moves in the x-y plane with a constant acceleration of (8.0hati + 2.0hatj) m s^-2 ,:- At what time is the x- coordinate of the particle 16 m? What is the y-coordinate of the particle at that time?