Viewing saved work revert to last response 7 1212

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Viewing Saved Work Revert to Last Response 7. 12/12 points | Previous Answers My Notes Question Part Points Submissions Used 1 2 3 4 5 6 7 8 9 10 11 12 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/5 1/5 1/5 1/5 1/5 1/5 1/5 1/5 1/5 1/5 3/5 1/5 The location P(t) of an object moving in the xy -plane at time t seconds is given by the equations P(t)=(x(t),y(t)) , where x(t)=a + 10 t and y(t)=b + 6 t , a,b are constants and distances are measured in units of meters. The equations x(t), y(t) describe linear parametrized motion ; see section 10.1 of the textbook for review. (a) The location of the object at time t=1 is ( \$\$ a +10 , \$\$ b +6 ) (b) The average rate of change of x(t) between 1 and 2 seconds is
(c) The instantaneous rate of change of x(t) at time t=1 is .
(d) What is the instantaneous horizontal velocity of the object at time t ?
(e) The average rate of change of y(t) between 1 and 2 seconds is \$\$6
(f) The instantaneous rate of change of y(t) at time t=1 is .
(g) What is the instantaneous vertical velocity of the object at time t ?
(h) The line along which the object is moving in the plane has the equation: y= \$\$35 x + \$\$ b −35· a . (i) Let d(t) be the distance the object has traveled after t seconds. The formula for d(t) \$\$√102+62· t . (j) The instantaneous rate of change of d(t) at time t is is
. This is called the speed along the line of motion. Viewing Saved Work Revert to Last Response 8. 4/4 points | Previous Answers SCalcET7 2.7.014. My Notes Question Part Points Submissions Used 1 2 3 4 1/1 1/1 1/1 1/1 2/5 2/5 1/5 1/5 If a rock is thrown upward on the planet Mars with a velocity of 12 m/s, its height (in meters) after seconds is given by H = 12 t − 1.86 t 2 (a) Find the velocity of the rock after one second. t .
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