Numerical Mastery

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1.
A projectile is launched at 53 degrees with speed 50 m/s. Find the speed at the highest point. (g = 10 m/s^2, cos53 = 0.6)
2.
A particle has acceleration a = (4-2t) m/s^2 and starts from rest. The maximum velocity attained is:
3.
A particle's velocity is v = sqrt(400 - 8x) m/s. The acceleration is:
4.
A projectile is launched at 60 degrees. The ratio of its KE at the highest point to its KE at launch is:
5.
A particle moves along x-axis with v = (5 - 2t) m/s. The total distance covered from t = 0 to t = 4 s is:

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