  14. If a rock is thrown upwardon the planet Mars with a velocity of 10 m/s, its height (inmeters) after t seconds is given by H = 10t - 1.86t2a. Find the velocity of the rock after one second.b. Find the velocity of the rock when t = a.c. When will the rock hit the surface?d. With what velocity will the rock hit the surface?

Question help_outlineImage Transcriptionclose14. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters) after t seconds is given by H = 10t - 1.86t2 a. Find the velocity of the rock after one second. b. Find the velocity of the rock when t = a. c. When will the rock hit the surface? d. With what velocity will the rock hit the surface? fullscreen
Step 1

A rock is thrown  upward with a velocity of  10 m/s. Its  height ( in  meters)  after t seconds  is given by H= 10t-1.86t2..

c.  When  will be the rock  hit the surface?

d. With what  velocity with the  rock  hit the surface?

Step 2

Given H= 10t -1.86t2.

Rock will hit the ground  when H=0

Step 3

Plugging H=0 in above  equation and solving for t

0 = 10t-1.86t2

0 = t(10-1.86t)

Using &... help_outlineImage Transcriptioncloset 0or0 10-1.86t t 0 or 10 1.86t 10 =0ort = 1.86 t 0ort5.38 Thus the rock hits the surface about 5.38.s fullscreen

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Calculus 