A ball that is hit or thrown horizontally ball that is hit or thrown horizontally with a velocity of v metres per second will travel a distance d metres before hitting the ground, where d=v square root h/ 4.9 and h is the height, in metres, from which the ball is hit or thrown.

Question

A ball that is hit or thrown horizontally ball that is hit or thrown horizontally with a velocity of v metres per second will travel a distance d metres before hitting the ground, where d=v square root h/ 4.9 and h is the height, in metres, from which the ball is hit or thrown.
a) Use the properties of radicals to rewrite the formula with a rational denominator. (2 marks)
b) How far will a ball that is hit with a velocity of 45 m/s at a height of 0.8 m above the ground travel before hitting the ground, to the nearest tenth of a metre? (2 marks)

Steve · Answer

apparently the formula is d = v√(h/4.9) multiply that by √4.9/√4.9 and you have d = v√(4.9h)/4.9 Now just plug in the numbers.