1. An object is moving in the x -direction at 1.1 m/swhen, starting at t = 0, it

Question

1. An object is moving in the x-direction at 1.1 m/swhen, starting at t = 0, it undergoes a constant acceleration a =0.58j m/s2. Find its velocity vector at t = 5.0 s .

2. If you can hit a golf ball 230 m on Earth, how far can you hit it on the Moon? The magnitude of the acceleration of gravity on the moon is 0.165 times that of the earth.  (Your answer will be an underestimate because it neglects air resistance on Earth.)

3. How fast would a car have to round 90 m -radius turn for its acceleration to be numerically equal to that of gravity?

4. By how much does the force required to stop a car increase if the initial speed is doubled and the stopping distance remains the same?

5. A bucket of water with mass m is accelerated upward by a cord of negligible mass whose breaking strength is Fmax.

Explanation / Answer

Here ,

initial velocity , vi = 1.1 i m/s

time , t = 5 s

acceleration of the object , a = 0.58 j m/s^2

Now , using first equatuion of motion

v = u + a *t

v = 1.1 i + 5 * 0.58 j

v = 1.1 i + 2.9 j m/s

the vector vector at t = 5 s is 1.1 i + 2.9 j m/s

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