In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A particle P P\,P is projected from a point on horizontal ground with velocity k(3i+4j)k(3\mathbf{i} + 4\mathbf{j})k(3i+4j) m s−1^{-1}−1, where k k\,k is a positive constant, i\mathbf{i}i is horizontal and j\mathbf{j}j is vertically upwards. Air resistance is modelled as negligible.
The greatest height reached by P P\,P is 24 m above the ground.
Find the value of kkk.
Find the horizontal distance travelled by P P\,P before it returns to the ground.
91 exam-style questions on OCR A Level Maths 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.