6. If a rock is thrown upward on the planet Mars with avelocity of 10 m/s, its height in meters / seconds later isgiven by y 10r(a) Find the average velocity over the given time intervals:10r 1.8612.(i) [1, 2](iii) [I, 1.1](v) [I, 1.001](b) Estimate the instantaneous velocity when t(ii) [I, 1.5](iv) [I, 1.01]1.7. The table shows the position of a motorcyclist after acceler-ating from rest.(seconds)3.0.2.44.9 20.6 46.5 | 79.2 124.8 176.7s (feet)0.(a) Find the average velocity for each time period:(i) [2, 4](b) Use the graph of s as a function of I to estimate theinstantaneous velocity when / 3(iv) [4.6](iii) [4. 5](ii) [3.4]8. The displacement (in centimeters) of a particle movingback and forth along a stnipht line is Hiven by the equation3cos mt. where /is measured in2 sin6.

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Asked Feb 4, 2020
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6. If a rock is thrown upward on the planet Mars with a
velocity of 10 m/s, its height in meters / seconds later is
given by y 10r
(a) Find the average velocity over the given time intervals:
10r 1.8612.
(i) [1, 2]
(iii) [I, 1.1]
(v) [I, 1.001]
(b) Estimate the instantaneous velocity when t
(ii) [I, 1.5]
(iv) [I, 1.01]
1.
7. The table shows the position of a motorcyclist after acceler-
ating from rest.
(seconds)
3.
0.
2.
4
4.9 20.6 46.5 | 79.2 124.8 176.7
s (feet)
0.
(a) Find the average velocity for each time period:
(i) [2, 4]
(b) Use the graph of s as a function of I to estimate the
instantaneous velocity when / 3
(iv) [4.6]
(iii) [4. 5]
(ii) [3.4]
8. The displacement (in centimeters) of a particle moving
back and forth along a stnipht line is Hiven by the equation
3cos mt. where /is measured in
2 sin
6.
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6. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters / seconds later is given by y 10r (a) Find the average velocity over the given time intervals: 10r 1.8612. (i) [1, 2] (iii) [I, 1.1] (v) [I, 1.001] (b) Estimate the instantaneous velocity when t (ii) [I, 1.5] (iv) [I, 1.01] 1. 7. The table shows the position of a motorcyclist after acceler- ating from rest. (seconds) 3. 0. 2. 4 4.9 20.6 46.5 | 79.2 124.8 176.7 s (feet) 0. (a) Find the average velocity for each time period: (i) [2, 4] (b) Use the graph of s as a function of I to estimate the instantaneous velocity when / 3 (iv) [4.6] (iii) [4. 5] (ii) [3.4] 8. The displacement (in centimeters) of a particle moving back and forth along a stnipht line is Hiven by the equation 3cos mt. where /is measured in 2 sin 6.

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Expert Answer

Step 1

The velocity of the rock which is thrown upwards is given as 10 m/s. The height of the rock which is measured in meters after t seconds is given by the following formula.

Calculus homework question answer, step 1, image 1
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Step 2

The average velocity is computed by dividing the change in displacement by the change in time as shown in the following formula.

Calculus homework question answer, step 2, image 1
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Step 3
  1. i) The average velocity in the time period 1 ...
Calculus homework question answer, step 3, image 1
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