4. (6 points) What is the maximum possible range of a projectile that, when laun

Question

4. (6 points) What is the maximum possible range of a projectile that, when launched directly upwards reaches a maximum height of h-50.0 m? Neglect the effects of air resistance. a) 25.0 m b) 50.0 m c) 70.7 m d) 100 m e) 200 m (6 points) A sprinter accelerates at a constant rate from rest to his top speed of 11.2 m/s in a distance of 9.50 m. What is his acceleration? a) 13.2 m/s b) 6.60 m/s c) 0.589 m/s d) 1.18 m/s e) 3.30 m/s 6. (6 points) Which statement is incorrect? a) An object can accelerate even though its speed is constant. b) A moving object's velocity is directed along a line tangent to its path at any particular instant. c) The magnitude of an object's displacement is less than or equal to the distance it travels. d) An object's acceleration is in the direction of the net force acting on it. e) Velocity and acceleration are always directed within 90° of each other.

Explanation / Answer

here,

4)

h = 50 m

the initial speed, u = sqrt(2*g*h)

u = sqrt(2*9.81*50) m/s

u = 31.3 m/s

for maximum range , theta = 45 degree

the maximum range , R = u^2 * sin(2*theta) /g

R = 31.3^2 /9.81 = 100 m

the maximum range is d)100 m

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