A block is projected with speed 10 m s−1^{-1}−1 across a rough horizontal floor. The coefficient of friction is 0.2. In addition to friction, the block experiences a resistive force of magnitude mv5\dfrac{mv}{5}5mv N, where m m\,m kg is its mass and v v\,v m s−1^{-1}−1 is its speed.
Use g=9.8g=9.8g=9.8 m s−2^{-2}−2. While the block is moving, take its direction of motion as positive.
Form a differential equation for vvv.
Find v v\,v in terms of ttt.
Find the time at which the block first comes to rest.
92 exam-style questions on WJEC A Level Maths 4.6 Integration (A-level only), covering 4.6.1 Integration (A-level only) and 4.6.2 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.