Q1) A projectile is fired vertically with an initial velocity of 200 m/s. Calculate the maximum altitude & reached by the projectile and the time ¢ after firing for it to return to the ground. Neglect...

Q1) A projectile is fired vertically with an initial velocity of 200 m/s. Calculate the maximum altitude & reached by the projectile and the time ¢ after firing for it to return to the ground. Neglect air resistance and take the gra (Ans. h=2040 m, ¢ Q2) A ball is thrown vertically upward wi i 80 ft/sec from the base A of a 50-ft cliff. Determine the distance h by which the ball clears the top of the cliff and the time t after release for the ball to land at B. Also, calculate the impact veloci air resistance and the small horizontal motion of the ball. w ab 1 Q3) A train which is traveling at 80 mi/hr applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreased velocity is observed to be 60 mi/hr as it passes a point 1/2 mile beyond A. A car moving at 50 mi/hr passes point B at the same instant that the train reaches point A. In an unwise effort to beat the train to the crossing, the driver “steps on the gas.” Calculate the constant acceleration a that the car must have in order to beat the train to the crossing by 4 sec and find the velocity v of the car as it reaches the erossing. (Ans.a = 1168 ftsec2, v = 99.8 mihr) Eé‘éé T /‘


Extracted text: QI) A projectile is fired vertically with an initial velocity of 200 m/s. Calculate the maximum altitude h reached by the projectile and the time t after firing for it to return to the ground. Neglect air resistance and take the gravitational acceleration to be constant at 9.8 m/s'. (Ans. h = 2040 m, t = 40.8 s) Q2) A ball is thrown vertically upward with an initial speed of 80 ft/sec from the base A of a 50-ft cliff. Determine the distance h by which the ball clears the top of the cliff and the time t after release for the ball to land at B. Also, calculate the impact velocity Neglect air resistance and the small horizontal motion of the ball. 50 Q3) A train which is traveling at 80 mi/hr applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreased velocity is observed to be 60 mi/hr as it passes a point 1/2 mile beyond A. A car moving at 50 mi/hr passes point B at the same instant that the train reaches point A. In an unwise effort to beat the train to the crossing, the driver "steps on the gas." Calculate the constant acceleration a that the car must have in order to beat the train to the crossing by 4 sec and find the velocity v of the car as it reaches the crossing. ( Ans. a = 1.168 ft/sec2, v = 99.8 mi/hr) Train 1 mi 80 mi/hr B Car o mi/hr 1.3 m