Question

Complete the following table:

(A)

u (m/s)	a (m/s2)	t (sec)	v = u + at (m/s)
0	5	5	----
---	1	8	16

(B)

u (m/s)	a (m/s2)	t (sec)
4	10	2	---
16	---	5	105

(C)

u (m/s)	a (m/s2)	s (m)	v2 = u2 + 2as (m/s)
3	5	---	7
---	2	11	12

Answer 1

(A)

u(m/s)	a(m/s2)	t(sec)	v = u + at (m/s)
0	5	5	25
8	1	8	16

First part, v = u + at = 0 + 5 5 = 25 m/s

Second part, v = u + at or 16 = u + 18 or u = 8 m/s

(B)

u(m/s)	a(m/s2)	t(sec)
4	10	2	28
16	2	5	105

First part, s = ut +at²

⇒ s = 42 + 0.5 10 2² = 28 m

Second part, 105 = 165 + 0.5a5²

⇒ 105 − 80 = 12.5 a

⇒ 12.5a = 25

⇒ a = 2 m/s²

(C)

u(m/s)	a(m/s2)	s (m)	v2 = u2 + 2as (m/s)
3	5	4	7
10	2	11	12

First part v² = u² + 2as

⇒ 7² = 3² + 25s

⇒ 49 = 9 +10s

⇒ s = 4m

Second part v² = u² + 2as

⇒ 12² = u² + 2211

⇒ 144 = u² + 44

⇒ u² = 100

⇒ u = 10 m/s