A baseball player hits a baseball and its height is given by the equation \( y = - 4.9 t ^ { 2 } + 150 , \) where \( h \) is the height in metres above the ground, and \( t \) , in seconds, is its time in the air. a) What was the initial height? [1 mark] b) What is the height of the ball after \( 2 s \) ? Round to the nearest tenth. [2 marks] c) Was the ball in the air after \( 2 \) seconds? Explain. Communication[1] d) How much the ball has fallen in the first \( 2 \) seconds? [1 mark] e) When will the ball hit the ground? Round to the nearest second. [2 marks]
Pregunta
Answer
a) height = 150metres
b) height = 130.4metres
c) yes
d) ball fallen = 19.6 metres
e) t = 5.53 seconds
Related Questions
Q:
Find the solution of the exponential equation \( 16 e ^ { x } = 12 \) in terms of logarithms, or correct to four decimal places. \( x = \)
Q:
Certain radioactive material decays in such a way that the mass remaining after \( t \) years is given by the function
\( m ( t ) = 100 e ^ { - 0.01 t } \)
where \( m ( t ) \) is measured in grams. (a) Find the mass at time \( t = 0 \) . Your answer is (b) How much of the mass remains after \( 20 \) years? Your answer is Round answers to \( 1 \) decimal place.