# A 2 2 a a h

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\$\$ a 2 2 a + a · h h ( a + h 1)( a 1) (f) Calculate the limit lim_(h->0) f(h) = \$\$ a 2 2 a ( a 1)2 (g) A time t>1 when the positron's instantaneous velocity is zero is \$\$2 (h) Where is the positron located at the time you found in (g) \$\$4 7. 12/12 points | Previous Answers 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 + 3 t and y(t)=b + 4 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 +3 , \$\$ b +4
12/14/16, 4(14 PM hw07S2.7-8 ) (b) The average rate of change of x(t) between 1 and 2 seconds is \$\$3 m/s; this is called the average velocity of x(t) on the time interval [1,2]. (c) The instantaneous rate of change of x(t) at time t=1 is .
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(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 \$\$4
(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 ?
12/14/16, 4(14 PM hw07S2.7-8 Page 10 of 12 \$\$ b (43) · a . (i) Let d(t) be the distance the object has traveled after t seconds. The formula for d(t) is \$\$ t ·√ 42+32 . (j) The instantaneous rate of change of d(t) at time t is \$\$ 42+32 . This is called the speed along the line of motion.
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