6 A stone is thrown vertically upwards from the edge of a platform which is 10 m above the ground. The position-time graph for the motion of the stone is shown. The motion of the stone is in a straight line and the reference point for position is taken as a point at ground level, directly below where the stone was thrown. a From the graph estimate the instantaneous velocity with which the stone is thrown. position x (m) b What is the maximum height reached by the stone? c At what time does the stone reach its maximum height? d At what time does the stone hit the ground? 15- 10 5- 0 0.5 1.0 1.5 2.0 2.5 30 3.5 t (s)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 38E
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6 A stone is thrown vertically upwards from the edge of a platform which is 10 m above
the ground. The position-time graph for the motion of the stone is shown. The motion
of the stone is in a straight line and the reference point for position is taken as a point at
ground level, directly below where the stone was thrown.
a From the graph estimate the
instantaneous velocity with which
the stone is thrown.
b What is the maximum height
reached by the stone?
c At what time does the stone reach
its maximum height?
position
x (m)
15
10
5
0
0.5 1.0 1.5 2.0 2.5 30 3.5 t (s)
d At what time does the stone hit the ground?
e
From the graph estimate the instantaneous speed at which the stone hits the ground.
Transcribed Image Text:6 A stone is thrown vertically upwards from the edge of a platform which is 10 m above the ground. The position-time graph for the motion of the stone is shown. The motion of the stone is in a straight line and the reference point for position is taken as a point at ground level, directly below where the stone was thrown. a From the graph estimate the instantaneous velocity with which the stone is thrown. b What is the maximum height reached by the stone? c At what time does the stone reach its maximum height? position x (m) 15 10 5 0 0.5 1.0 1.5 2.0 2.5 30 3.5 t (s) d At what time does the stone hit the ground? e From the graph estimate the instantaneous speed at which the stone hits the ground.
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