2 Unit 2: Applied Mathematics A

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Question 13

A particle moves in a straight line with acceleration $s−2a=(3t+5)\text{ m s}^{-2}$ . At $t = 0$ its velocity is 2 m s^-1. At time $t = T$ , its velocity is 6 m s^-1.

a.

Show that $3T^2+10T-8=0$ .

[3]

b.

Determine $T$ .

[2]

c.

Find the distance travelled between $t = 0$ and $t = T$ .

[3]

2 Unit 2: Applied Mathematics A

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Question 13

A particle moves in a straight line with acceleration $s−2a=(3t+5)\text{ m s}^{-2}$ . At $t = 0$ its velocity is 2 m s^-1. At time $t = T$ , its velocity is 6 m s^-1.

a.

Show that $3T^2+10T-8=0$ .

[3]

b.

Determine $T$ .

[2]

c.

Find the distance travelled between $t = 0$ and $t = T$ .

[3]

2 Unit 2: Applied Mathematics A

Question 13

Markscheme

2 Unit 2: Applied Mathematics A

Question 13

Markscheme

2 Unit 2: Applied Mathematics A

Question 13

2 Unit 2: Applied Mathematics A Questions

2 Unit 2: Applied Mathematics A

Question 13

2 Unit 2: Applied Mathematics A Questions