Question

𝑠=𝑢𝑡+12𝑎𝑡2 𝑒𝑞(1) The tasks are to:

a) Plot a graph of distance (s) vs time (t) for the first 10s of motion if 𝑢=10𝑚𝑠−1 and 𝑎=5𝑚𝑠−2.

b) Find the gradient of the graph at 𝑡=2𝑠 and 𝑡=6𝑠.

c) Differentiate the equation to find the functions for i) Velocity (𝑣=𝑑𝑠𝑑𝑡) ii) Acceleration (𝑎=𝑑𝑣𝑑𝑡=𝑑2𝑠𝑑𝑡2)

Answer 1

$$v(2)=20\frac{m}{s}\\v(6)=40\frac{m}{s}\\v(t)=10+5t\\a=5\frac{m}{s^2}$$