Initial vertical velocity is zero, so s = 1.25 m = ½gt² = ½ * 10m/s² * t² t = 0.500 s ◄ v = x / t = 1.00m / 0.500s = 2.00 m/s ◄ h = h0 + v² / 2g = 1.25m + (2.00m/s)² / 20m/s² = 1.45 m ◄ V = √(2gh) = √(2 * 10m/s²...

2 Answers · Science & Mathematics · 07/05/2020

dv/dt => a = 6 - 2t so, v(t) = 6t - t² + v(0) Hence, v(t) = 6t - t² The maximum velocity occurs when a = 0 so, 6 - 2t = 0 i.e. when t = 3 Then, v(3) = 18 - 9 => 9 ms⁻¹ After 4 seconds we have: v(4) = 24 - 16 => 8 ms⁻¹ ds/dt...

1 Answers · Science & Mathematics · 28/05/2020

2.7h = 2.7*60 min = 162min Number of half-lives = 162/22 = 7.364 Amount remaining = 639 * (1/2)^7.364 = 3.9mg

4 Answers · Science & Mathematics · 11/05/2020

Solution- At=0 , Vox=29.0 m/s ax=-Ct after t=8s, Vx=0m/s We know ax=dv/dt vx. t t vx=0 8 ==> ∫ dv= ∫ axdt= ∫ -Ctdt= [v] -C[t^2/2] vox...

1 Answers · Science & Mathematics · 01/06/2020

Depends on the experiment and equipment, but a) Waiting for at least 2 minutes to elapse from the

**start**of the heat exchange is probably best. (c) and (d) are clearly wrong. Hope this helps!1 Answers · Science & Mathematics · 01/06/2020

... F = μₛmg. So at the point when the disc would

**start**to slide relative to the platform, the limiting frictional force equals the...1 Answers · Science & Mathematics · 31/05/2020

Looking at the units might help: field: volts per meter potential: volts distance: meters field E = potential / distance 3.0x10^6 V/m = PD / 0.00060m PD = 1800 V minimum Hope this helps!

1 Answers · Science & Mathematics · 13/05/2020

Achilles is faster by 9 m/s. He has to cover the 10 meter distance. So his time is 10 m / (9 m/s) = 1.111... seconds.

2 Answers · Science & Mathematics · 01/06/2020

The mass of the child and sled have nothing to do with this problem. The assumption is that the kinetic energy at the bottom of the hill will equal the gravitational potential energy that was given up in the descent. So you have mgh = (1/2)mv^2 => v = sqrt(2gh), which is also known...

1 Answers · Science & Mathematics · 11/05/2020