A high-precision hydraulic piston moves in a straight line inside a cylinder relative to a reference marker $M$ . The displacement, $x\,$ metres, of the piston from $M\,$ at time $t\,$ seconds is given by

\lambda e^{-0.25t}

where $c\,$ and $\lambda\,$ are constants. At time $t = 4$ , the acceleration of the piston is -1.5 m s^-2.

Show that $λ≈65.2\lambda \approx 65.2$

Given that the piston has an initial displacement of 16 metres, find the value of $c$ . Give your answer to two significant figures.

\lambda e^{-0.25t}

where $c\,$ and $\lambda\,$ are constants. At time $t = 4$ , the acceleration of the piston is -1.5 m s^-2.

Show that $λ≈65.2\lambda \approx 65.2$

Given that the piston has an initial displacement of 16 metres, find the value of $c$ . Give your answer to two significant figures.

4.1 Kinematics (A-level only)

Question 140

Markscheme

4.1 Kinematics (A-level only)

Question 140

Markscheme

4.1 Kinematics (A-level only)

Question 140

4.1 Kinematics (A-level only) Questions

4.1 Kinematics (A-level only)

Question 140

4.1 Kinematics (A-level only) Questions