A cricketer can throw a ball to a maximum horizontal distance of 100 m. With the same effort, he throws the ball vertically upwards. The maximum height attained by the ball is
Maximum range
Maximum height
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A cricketer can throw a ball to a maximum horizontal distance of 100 m. With the same effort, he throws the ball vertically upwards. The maximum height attained by the ball is
Maximum range
Maximum height
A ball is projected with velocity V0 at an angle of elevation 30°. Mark the correct statement
Since horizontal component of velocity is constant, hence momentum is constant.
Neglecting the air resistance, the time of flight of a projectile is determined by
Time of flight =
A ball is thrown from a point with a speed v0 at an angle of projection θ. From the same point and at the same instant a person starts running with a constant speed v0/2 to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection?
Person will catch the ball if its velocity will be equal to horizontal component of velocity of the ball.
⇒ ⇒
A stone is thrown at an angle θ to the horizontal reaches a maximum height H. Then the time of flight of stone will be
and ⇒
∴ ⇒
The horizontal range of a projectile is times its maximum height. Its angle of projection will be
if R = then ⇒
The maximum horizontal range of a projectile is 400 m. The maximum value of height attained by it will be
= 400 m
A particle is moving eastwards with velocity of 5 m/s. In 10 seconds the velocity changes to 5 m/s northwards. The average acceleration in this time is
Two cars are moving in the same direction with the same speed 30 km/hr. They are separated by a distance of 5 km, the speed of a car moving in the opposite direction if it meets these two cars at an interval of 4 minutes, will be
The two car (say A and B) are moving with same velocity, the relative velocity of one (say B) with respect to the other
So the relative separation between them (= 5 km) always remains the same.
Now if the velocity of car (say C) moving in opposite direction to A and B, is relative to ground then the velocity of car C relative to A and B will be
But as is opposite to vC
So
So, the time taken by it to cross the cars A and B
A man standing on a road hold his umbrella at 30° with the vertical to keep the rain away. He throws the umbrella and starts running at 10 km/hr. He finds that raindrops are hitting his head vertically, the speed of raindrops with respect to the road will be
When the man is at rest w.r.t. the ground, the rain comes to him at an angle 30° with the vertical. This is the direction of the velocity of raindrops with respect to the ground.
Here velocity of rain with respect to the ground
velocity of the man with respect to the ground.
and velocity of the rain with respect to the man,
We have ......(i)
Taking horizontal components equation (i) gives
or
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