Maths4U Original · Short practice

A 5 kg vehicle starts from rest on a horizontal track. Resistance is constantly \(\displaystyle \frac{5}{2}\) N. A forward drive \(\displaystyle \frac{15}{2}\) N acts for 7 s. The drive is then removed and a separate constant brake force \(\displaystyle \frac{25}{2}\) N acts backwards, while the resistance continues, until the first stop. Take the initial forward direction as positive.

Find the speed at the instant the drive is switched off, 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 6 kg vehicle starts from rest on a horizontal track. Resistance is constantly \(3\) N. A forward drive \(15\) N acts for 3 s. The drive is then removed and a separate constant brake force \(21\) N acts backwards, while the resistance continues, until the first stop. Take the initial forward direction as positive.

Find the speed at the instant the drive is switched off, 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 6 kg vehicle starts from rest on a horizontal track. Resistance is constantly \(3\) N. A forward drive \(15\) N acts for 3 s. The drive is then removed and a separate constant brake force \(21\) N acts backwards, while the resistance continues, until the first stop. Take the initial forward direction as positive.

Find the distance travelled during the driving stage 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 7 kg vehicle starts from rest on a horizontal track. Resistance is constantly \(\displaystyle \frac{7}{2}\) N. A forward drive \(\displaystyle \frac{49}{2}\) N acts for 4 s. The drive is then removed and a separate constant brake force \(\displaystyle \frac{21}{2}\) N acts backwards, while the resistance continues, until the first stop. Take the initial forward direction as positive.

Find the distance travelled during the driving stage 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 7 kg vehicle starts from rest on a horizontal track. Resistance is constantly \(\displaystyle \frac{7}{2}\) N. A forward drive \(\displaystyle \frac{49}{2}\) N acts for 4 s. The drive is then removed and a separate constant brake force \(\displaystyle \frac{21}{2}\) N acts backwards, while the resistance continues, until the first stop. Take the initial forward direction as positive.

Find the additional braking distance until the first stop, 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 8 kg vehicle starts from rest on a horizontal track. Resistance is constantly \(4\) N. A forward drive \(36\) N acts for 5 s. The drive is then removed and a separate constant brake force \(20\) N acts backwards, while the resistance continues, until the first stop. Take the initial forward direction as positive.

Find the additional braking distance until the first stop, 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 8 kg vehicle starts from rest on a horizontal track. Resistance is constantly \(4\) N. A forward drive \(36\) N acts for 5 s. The drive is then removed and a separate constant brake force \(20\) N acts backwards, while the resistance continues, until the first stop. Take the initial forward direction as positive.

Find the total elapsed time until the first stop, 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 9 kg vehicle starts from rest on a horizontal track. Resistance is constantly \(\displaystyle \frac{9}{2}\) N. A forward drive \(\displaystyle \frac{27}{2}\) N acts for 6 s. The drive is then removed and a separate constant brake force \(\displaystyle \frac{63}{2}\) N acts backwards, while the resistance continues, until the first stop. Take the initial forward direction as positive.

Find the total elapsed time until the first stop, 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.