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I am having a little trouble with my physics homework and am hoping for someone(s) to confirm if I am on the right track. Please and thank you!

1. In a total time of 2.0min, a duck on a pond paddles 22m [36° N of E] and then paddles another 65m [25° E of S].

Determine the duck's

i) total distance travelled

Total = 22m + 65m = 87m

ii) average speed

v = d/t = 87m/120s = 0.73m/s

iii) total displacement

a² = b² + c²

65² = 22² +c²

c = 61

iv) average velocity

v = d/t = 65-22/120 = 0.36m/s[E]

2. The skid marks of a car was 150m from the point where the driver applied the brakes to where the car came to rest. The driver was travelling at 80km/h(22m/s) when the brakes were applied. Calculate the acceleration of the vehicle.

Vf² = Vi² + 2aΔd

0 = (22m/s)² + 2a(150m)

484/150 = 2a

a = 1.6m/s²

3. An archer shoots an arrow straight up into the air with an initial velocity of 45m/s . Calculate the maximum height of the arrow.

Vf² = Vi² + 2aΔd

0 = (45m/s)² + 2(-9.8m/s²) Δd

Δd = -2025/-19.6

Δd = 103m

Thank you once again!!

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# Homework Help: Forces and Motion

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