Question

1 Homework-Tangent and Velocity 1/15/19, 8:59 If an arrow is shot upward on Mars with s speed p', he s, its height in meters t seconds later is given by y 58t 1.86 answers to two decimal places.)X (a) Find the average speed over the given time intervals m/s 11-58 ら0.5 2 m/s (v) [1, 1.001] m/s b) Estimate the speed when t 1. m/s

A highschool physics problem. I will give thumbs up if you answer me this question

Answer 1

Y = 58 t - 1.86 t^2 V = 58 m/s dy/dt = 58 - 3.72 t v (t) = 58 - 3.72 t (a) Find the average speed over the given time interval (i) Average speed for time interval (t_1, t_2) rightarrow V_arg = Y (t_2) - Y (t_1)/t_2 - t_1 = Y (2) - Y (1)/2 - 1 V_arg = (58 times 2 - 1.86 times (2)^2] - [58 - 1.86]/1 V_arg = 52.42 m/s (ii) V_arg = Y (1.5) - Y (1)/(1.5 - 1) = [82.82 - 56.14]/0.5 = 53.35 m/s 5.35 (iii) V_arg = Y (1.1) - Y (1)/(1.1 - 1) = (61.549 - 56.14)/0.1 = 54.094 m/s (iv) V_arg = Y (1.01) - Y (1)/(1.01 - 1) = 56.682 - 56.14/0.01 = 54.2614 m/s