Velocity measurement 2 points possible {graded} Suppose that you measure the velocity of an object by measuring that it takes 1 second to travel 1.2 meters. The measurement error is .001 meters in distance, and the error in time is .01 second. What is the absolute value of the error in the linear approximation for the velocity? (Enter decimal answer to three decimal digits. Enter the units of the error using m to denote meters and s to denote seconds) IA'UI S Units: Kinetic energy 2 points possible {graded} Suppose you measure the velocity of a mosquito to be 1.3 mfs with an error of 0.2 ms. We approximate the mosquito to weigh approximately equal to a grain of rice, which is on the order of magnitude of 106 kg. What is the error in the kinetic energy? Assume there is no rotational velocity. In the second answer box, enter units involving m, s, and kg to denote meters, seconds, and kilograms respectively. {Do not use J for Joules or N for Newtons.) (Enter answer with 2 significant figures of accuracy, i.e.with 2 nonzero numbers.) IAKI S Units: Implicit differentiation and linear approximation 1 point possible [graded] Suppose w is related to m by the equation (to + 1) e\" = :3. Approximate the value of 1:; when m = 1.1 using the fact that w = 0 when a: = 1. (Enter answer to 2 decimal places.) 10% Approximation and compositions on point (graded) 3 Use a linear approximation for e\" to find a (nonlinear in :1: but still polynomial) approximation to the function 8\" near a: = 0. (Type * for multiplication. Type I for division. Type " for exponents. Type sqrt(x) for V5.) 613% Approximation and compositions on point [graded] Combine linear approximations for the natural logarithm and square root functions to find a {nonlinear in a: but still polynomial] approximation of the function 111 V 1 + :82 near a: = 0. (Type * for multiplication. Type ;' for division. Type A for exponents. Type sqrtlx] for $5.] lnvl +3:2 m