Uniform acceleration

Question 1

Recall that, for constant acceleration:

Answer 1

• 𝑣 = 𝑢 + 𝑎𝑡

Question 2

Integrate this (𝑣 = 𝑢 + 𝑎𝑡) equation with respect to t to show that:

Answer 2

• 𝑥 = 𝑢𝑡 + 1/2𝑎𝑡^2

Question 3

Use these equations (𝑥 = 𝑢𝑡 + 1/2𝑎𝑡^2, and 𝑣 = 𝑢 + 𝑎𝑡) to obtain:

Answer 3

• 𝑥 = 1/2(𝑢 + 𝑣)𝑡; 2
• 𝑣^2 = 𝑢^2 + 2𝑎𝑥.

Question 4

Use each of the four 𝑥𝑢𝑣𝑎𝑡 equations as appropriate in solving problems

Answer 4

See notes page