How many minutes Raman will take to cover a distance of 400 meters if he runs at a speed of 20 km/hr ?

1. A purple line express car starts at Howard station at time 0, pointing north. Its velocity as a function of time (in hours) is given by v(t) = -6000t? + 1000t miles per hour. (a) How far north does the train travel before turning around? (b) At what time does the train come back to Howard station? (c) If the train's fuel efficiency is 2 miles per gallon, how many gallons of fuel are consumed from t = 0 to t =1/2 hour?

these problems are related to each other. you need one to answer the other.

Using video analysis, the motion of an object has been recorded as follows: Measurement No. time t (s) distance x (m) 1 0.300 1.59E-02 (i.e. 1.59 × 10−2) 2 0.500 4.31E-02 3 0.700 9.04E-02 4 1.20 2.70E-01   Questions Plot x vs. t on log-log paper. Label all axes properly, and draw a best-fit line through the data points. Determine the slope of the best-fit line. Based on the slope, what type of motion does the mass do?  Now assume that the motion is described by  From the given values for t and x, calculate the acceleration a for each measurement and write it down in a table. Be sure to add the proper unit.   For the acceleration, find the average, the standard deviation, standard deviation of the mean and 2σ-uncertainty. Report the final answer in standard form (mean ± uncertainty) with proper rounding and units.