Maths4U Original · Short practice

A particle is projected vertically upward from a marked point O at \(\displaystyle \frac{40m}{s}\). Take upward as positive, ignore air resistance and use \(\displaystyle g= \frac{10m}{s^{2}}\). No impact occurs before it returns to O.

Find the time to its highest point, in s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle is projected vertically upward from a marked point O at \(\displaystyle \frac{50m}{s}\). Take upward as positive, ignore air resistance and use \(\displaystyle g= \frac{10m}{s^{2}}\). No impact occurs before it returns to O.

Find the time to its highest point, in s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle is projected vertically upward from a marked point O at \(\displaystyle \frac{50m}{s}\). Take upward as positive, ignore air resistance and use \(\displaystyle g= \frac{10m}{s^{2}}\). No impact occurs before it returns to O.

Find its maximum height above O in m.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle is projected vertically upward from a marked point O at \(\displaystyle \frac{60m}{s}\). Take upward as positive, ignore air resistance and use \(\displaystyle g= \frac{10m}{s^{2}}\). No impact occurs before it returns to O.

Find its maximum height above O in m.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle is projected vertically upward from a marked point O at \(\displaystyle \frac{60m}{s}\). Take upward as positive, ignore air resistance and use \(\displaystyle g= \frac{10m}{s^{2}}\). No impact occurs before it returns to O.

Find the time of its return to O, in s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle is projected vertically upward from a marked point O at \(\displaystyle \frac{20m}{s}\). Take upward as positive, ignore air resistance and use \(\displaystyle g= \frac{10m}{s^{2}}\). No impact occurs before it returns to O.

Find the time of its return to O, in s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle is projected vertically upward from a marked point O at \(\displaystyle \frac{20m}{s}\). Take upward as positive, ignore air resistance and use \(\displaystyle g= \frac{10m}{s^{2}}\). No impact occurs before it returns to O.

Find the signed velocity at \(\displaystyle t=\)\(\displaystyle \frac{14}{5}\) s, in m/s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle is projected vertically upward from a marked point O at \(\displaystyle \frac{30m}{s}\). Take upward as positive, ignore air resistance and use \(\displaystyle g= \frac{10m}{s^{2}}\). No impact occurs before it returns to O.

Find the signed velocity at \(\displaystyle t=\)\(\displaystyle \frac{16}{5}\) s, in m/s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.