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ahrayia [7]
3 years ago
10

A ball is thrown horizontally from the top of a 60.0m and lands 100.0m from the base of the building ignore air resistance.(a) h

ow long is the ball in the air? (b) what must have been the initial horizontal component of the velocity? (C) what is the vertical component of the velocity just before the ball hits the ground? (d) what is the velocity (including both the horizontal and velocity components) of the ball just before it hits the ground.
Physics
1 answer:
ch4aika [34]3 years ago
8 0

Answer:

(a) 3.5 s

(b) 28.6 m/s

(c) 34.34 m/s

(d) 44.64 m/s

Explanation:

(a)

y=v_o t +0.5gt^{2} wherev_o is initial velocity which is zero hence

y=0.5gt^{2} where t is time and g is acceleration due to gravity taken as 9.81 m/s2

Making t the subject, t=\sqrt {\frac {2y}{g}}  

Substituting y for -60 m and g as -9.81 m/s2

t=\sqrt {\frac {2*-60}{-9.81}}= 3.497487 s and rounding off

t=3.5 s

(b)

Let v_{h} be horizontal component of velocity

Since the range R=t*v_{h} then making v_{h} the subject

v_{h}=\frac {R}{t} and substituting R for 100m, t for 3.5 s then

v_{h}=\frac {100 m}{3.5 s}= 28.57143 m/s and rounding off

v_{h}=28.6 m/s

(c)

The vertical component of velocity before hitting ground

v_y=v_oy+ gt but v_oy is zero hence

v_y=gt and substituting g for -9.81 m/s2 and t for 3.5 s

v_y=-9.81*3.5= -34.335 rounded off as -34.34 m/s

(d)

The velocity before it hits the ground will be

v=\sqrt {(28.6)^{2}+(34.34)^{2}}=44.64 m/s

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