Question 96: Motion in 2D & Vectors

Question

A player kicks a football with an initial speed of 25 ms
$$-$$1
at an angle of 45$$^\circ$$ from the ground. What are the maximum height and the time taken by the football to reach at the highest point during motion ? (Take g = 10 ms
$$-$$2
)

Accepted Answer

$$H = {{{U^2}{{\sin }^2}	heta } \over {2g}}$$
$$ = {{{{(25)}^2}.{{(\sin 45)}^2}} \over {2 	imes 10}}$$
= 15.625 m
$$T = {{U\sin 	heta } \over g}$$
$$ = {{25 	imes \sin 45^\circ } \over {10}}$$
= 2.5 $$	imes$$ 0.7
= 1.77 s

Answer

h
max
= 10 m
T = 2.5 s

Answer

h
max
= 15.625 m
T = 3.54 s

Answer

h
max
= 15.625 m
T = 1.77 s

Answer

h
max
= 3.54 m
T = 0.125 s

Motion in 2D & Vectors

A player kicks a football with an initial speed of 25 ms $-1 at an angle of 45^\circ from the ground. What are the maximum height and the time taken by the football to reach at the highest point during motion ? (Take g = 10 ms -$2 )

Choose the correct answer: