Help me on those q\'s please. An object has a position given by r = [2.0 m + (3.

Question

Help me on those q's please.

An object has a position given by r = [2.0 m + (3.00 m/s)t]i+[3.0m -(2.00 m/s2)t2] j where quantities are in SI units. What is the speed of the object at time t = 2.00 s? You're 6.0 m from one wall of a house. You want to toss a ball to your friend who is 6.0 m from the opposite wall. The throw and catch each occur 1.0 m above the ground. (Figure 1) Assume the overhang of the roof is negligible, so that you may assume the edge of the roof is 6.0 m from you and 6.0 m from your friend. What minimum speed will allow the ball to clear the roof? At what angle should you toss the ball?

Explanation / Answer

1)v=dr/dt=3 i - 4t j

v(2)=3i-8j

speed=sqrt(3^2+8^2)=8.54m/s

2)v=dr/dt=3i -6t j

a=dv/dt=-6j

Magnitude=6m/s^2

3)

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