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!
The velocity, 𝑣, of an object, at a time 𝑡, is given by 𝑣 = 𝑘𝑒 ! # , where 𝑡 is in seconds and 𝑣 is in 𝑚 𝑠 !" .
Find the distance travelled between 𝑡 = 0 and 𝑡 = 𝑎.
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A body is moving in a straight line. When it is s metres from a fixed point O on the line its velocity, 𝑣,
is given by 𝑣 = −
"
$#
, 𝑠 > 0. Find the acceleration of the body when it is 50 cm from O.
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