A sample has 128 radioactive nuclei. How many remain undecayed after 3 half-lives?

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A car starts from rest and accelerates uniformly at $3 m/ s^{2}$ for $8$ s. Its final speed is:
A stone is dropped from a height of $45$ m. Taking $g = 10 m/ s^{2}$ and ignoring air, how long does it take to land?
A ball is thrown horizontally at $20 m/s$ from a cliff $80$ m high ( $g = 10 m/ s^{2}$ ). How far from the base of the cliff do…
A $5$ kg block is pulled by a $30$ N force to the right and a $10$ N force to the left. Its acceleration is:
A block slides down a frictionless incline of $3 0^{\circ}$ . With $g = 10 m/ s^{2}$ , its acceleration is:
A $2$ kg object moving at $6$ m/s is stopped by friction over $9$ m. The average friction force is: