WQ5.4 O/i point (graded) y L0 - Compressed yeq 0 _ Before After A 1.5 kg block is put on top of a 60 cm long strong, which is then compressed to a new length of 35 cm. What is the spring constant k? Give your answer is units of [N/m]. You go out parachute jumping. During the time between when you jump out of the plane and when you open your parachute, your altitude is given by the equation y =b - c(t + ke-t/ k). where e is the base of natural logarithms and b, c and k are constants. Because of air resistance, your velocity does not increase at a steady rate. a) What units should each of b, c and k have for the equation to be dimensionally consistent? Dimensions are quantities such as length, mass and time and equations should have the same dimensions on both sides. O binm, cinm/s, and k in s. O binm/s2, cinm, and k in m/s. O bins, cin m/s2, and k in m. O binm/s, cin s, and k in m/ $2.b) Find your velocity as a function of time. at You will need to make use the derivative for the exponential function: (em) : ae dw c) Use your answer to part b) to get a physical interpretation of what the constant 0 represents. By a physical interpretation we mean, how you would describe what the constant represents in the physical world. For example, in a problem with two race cars racing against each other, m0 could represent the start line. a]: d) Find your acceleration as a function of time. You will need to make use the derivative for the exponential function: % (em) : a6\". e) True or false: if you wait long enough before you open your chute, your acceleration will become very small. Use your answer for part d)