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Question
Complete the following table.
| u (m/s) | a (m/s2) | t (sec) | s = ut + `1/2`at2 (m) |
| 5 | 12 | 3 | ______ |
| 7 | ______ | 4 | 92 |
Chart
Fill in the Blanks
Solution
| u (m/s) | a (m/s2) | t (sec) | s = ut + `1/2`at2 (m) |
| 5 | 12 | 3 | 69 |
| 7 | 8 | 4 | 92 |
Explanation:
(i) u = 5, a = 12, t = 3, s = ?
s = ut + `1/2`at2 (m)
= 5 × 3 + `1/2` × 12 × (3)2
= 15 + `1/2` × 12 × 9
= 15 + 54
∴ s = 69
(ii) u = 7, a = ?, t = 4, s = 92
s = ut + `1/2`at2 (m)
⇒ 92 = 7 × 4 + `1/2` × a × (4)2
⇒ 92 = 28 + `1/2` × a × 16
⇒ 92 = 28 + 8 × a
⇒ 92 - 28 = 8 × a
⇒ 64 = 8 × a
⇒ `64/8` = a
∴ a = 8
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