Question

Question 4 A cricketer, playing at Adelaide Oval hits a ball from ground level, with a velocity of 60 Oms-1 at 48.0° above the horizontal. we do not consider air resistance. (a) Find the horizontal and vertical components of the initial velocity of the ball. (b) Determine the time that the ball is in the air before it hits the ground. (c) Calculate how far the ball travels horizontally before it hits the ground. (d) Consider the highest point of the ball's trajectory. (1) Draw vectors to show the ball's velocity and its acceleration at this point. Clearly label these vectors. (ii) State the speed of the ball when it is at the highest point of its trajectory. (iii) Determine the height of the ball above the ground, when it is at its highest point. (e) Draw a trajectory for the ball if air resistance is considered.

Answer 1

Honizantal component- Vego V = 60 m/s, 0 - 48° al = Gox eg 48° = 40. 15 m/s : Vertical component = v sino Gox Sinago 44.59 m/s. 67 time of flight = 2 Mesino g 2 x 60X Sin 48° 9.8 es hanizantal 4.55s. range = R = v2 Sinzo g (60)2 x sin (2298) g. 8 365.33m. dy Vego Vsino vego > at the highest boint vertical component of speed is zero. speed at highest paint= vego :. 80, iii) Highest paint = H= = H= yesinzo 2g (60²x si ²48° 2x9.8 101.44 m.