tennis ball machine fires a ball vertically upwards at time

t = 0 at 19.6 m/s. Assume that air resistance is negligible and
take g = 9.8 m/s2
.
a) Calculate the displacement and velocity of the ball at
t = 1.0 s, 2.0 s, 3.0 s and 4.0 s.
b) Use your answers to part a) to draw
i) a graph of displacement against time for the ball
ii) a graph of velocity against time for the ball.

Can I have the figure of the graphs

v(t) = 19.6 - 9.8t

so, that's a straight line.

And of course, displacement is just a parabola
s(t) = 19.6t - 4.9t^2

Physics

Assignment

Answer the question

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Physics Answer

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thank You for yours helping

To calculate the displacement and velocity of the ball at different times, we can use the equations of motion for objects in free fall:

1. Displacement (s):
The equation for displacement is given by:
s = ut + (1/2)gt^2
where:
s = displacement (in meters)
u = initial velocity (in meters per second)
g = acceleration due to gravity (in meters per second squared)
t = time (in seconds)

2. Velocity (v):
The equation for velocity is given by:
v = u + gt
where:
v = final velocity (in meters per second)

Now, let's calculate the displacement and velocity of the ball at t = 1.0 s, 2.0 s, 3.0 s, and 4.0 s.

a) Displacement at different times:

For t = 1.0 s:
s = (19.6 * 1.0) + (0.5 * 9.8 * (1.0)^2)
s = 19.6 + 4.9
s = 24.5 m

For t = 2.0 s:
s = (19.6 * 2.0) + (0.5 * 9.8 * (2.0)^2)
s = 39.2 + 19.6
s = 58.8 m

For t = 3.0 s:
s = (19.6 * 3.0) + (0.5 * 9.8 * (3.0)^2)
s = 58.8 + 44.1
s = 102.9 m

For t = 4.0 s:
s = (19.6 * 4.0) + (0.5 * 9.8 * (4.0)^2)
s = 78.4 + 78.4
s = 156.8 m

b) Velocity at different times:

For t = 1.0 s:
v = 19.6 + (9.8 * 1.0)
v = 19.6 + 9.8
v = 29.4 m/s

For t = 2.0 s:
v = 19.6 + (9.8 * 2.0)
v = 19.6 + 19.6
v = 39.2 m/s

For t = 3.0 s:
v = 19.6 + (9.8 * 3.0)
v = 19.6 + 29.4
v = 49.0 m/s

For t = 4.0 s:
v = 19.6 + (9.8 * 4.0)
v = 19.6 + 39.2
v = 58.8 m/s

Now, we can use the values obtained to plot the graphs:

i) Graph of displacement against time:
On the y-axis, we can plot the displacement (s) and on the x-axis, we can plot time (t). Connect the points (1.0 s, 24.5 m), (2.0 s, 58.8 m), (3.0 s, 102.9 m), and (4.0 s, 156.8 m) to get the graph.

ii) Graph of velocity against time:
On the y-axis, we can plot the velocity (v) and on the x-axis, we can plot time (t). Connect the points (1.0 s, 29.4 m/s), (2.0 s, 39.2 m/s), (3.0 s, 49.0 m/s), and (4.0 s, 58.8 m/s) to get the graph.