The acceleration,
The velocity of the particle after
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The acceleration,
The velocity of the particle after
At her favourite fun park, Katherine’s first activity is to slide down a 10 m long straight slide. She starts from rest at the top and accelerates at a constant rate, until she reaches the end of the slide with a velocity of
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When at the top of the slide, which is 6 m above the ground, Katherine throws a chocolate vertically upwards. The chocolate travels up and then descends past the top of the slide to land on the ground below. Assume that the chocolate is subject only to gravitational acceleration and that air resistance is negligible.
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At what velocity would the chocolate need to be propelled upwards, if Katherine were to immediately slide down the slide and run to reach the chocolate just as it hits the ground?
Give your answer in
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Katherine’s next activity is to ride a mini speedboat. To stop at the correct boat dock, she needs to stop the engine and allow the boat to be slowed by air and water resistance.
At time
Katherine stops the engine when the speedboat is travelling at
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a.
b.
c.
d.i. | ||
d.ii.
d.iii.
A particle moves in a straight line such that its acceleration is given by
Given that
A.
B.
C.
D.
E.
A ball is thrown vertically up with an initial velocity of
The acceleration of the ball is given by
The time taken for the ball to reach its maximum height is
A.
B.
C.
D.
E.
A helicopter is hovering at a constant height above a fixed location. A skydiver falls from rest for two seconds from the helicopter. The skydiver is subject only to gravitational acceleration and air resistance is negligible for the first two seconds. Let downward displacement be positive.
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After two seconds, air resistance is significant and the acceleration of the skydiver is given by
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a.
b. | ||
c.
d.i. | ||
d.ii.
e. | ||
The acceleration,
The displacement of the particle from
The acceleration
Given that